45740640 has 96 divisors (see below), whose sum is σ = 157199616. Its totient is φ = 11087360.

The previous prime is 45740633. The next prime is 45740677. The reversal of 45740640 is 4604754.

45740640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×45740640² = 4184412295219200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 45740598 and 45740607.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 949 + ... + 9611.

It is an arithmetic number, because the mean of its divisors is an integer number (1637496).

Almost surely, 2^45740640 is an apocalyptic number.

45740640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45740640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78599808).

45740640 is an abundant number, since it is smaller than the sum of its proper divisors (111458976).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

45740640 is a wasteful number, since it uses less digits than its factorization.

45740640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8692 (or 8684 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 45740640 is about 6763.1826827316. The cubic root of 45740640 is about 357.6301122239.

It can be divided in two parts, 457406 and 40, that added together give a triangular number (457446 = T₉₅₆).

The spelling of 45740640 in words is "forty-five million, seven hundred forty thousand, six hundred forty".