45407640 has 128 divisors (see below), whose sum is σ = 142248960. Its totient is φ = 11587584.

The previous prime is 45407627. The next prime is 45407641. The reversal of 45407640 is 4670454.

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 = 45407598 and 45407607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45407641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 468072 + ... + 468168.

It is an arithmetic number, because the mean of its divisors is an integer number (1111320).

Almost surely, 2^45407640 is an apocalyptic number.

45407640 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 45407640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71124480).

45407640 is an abundant number, since it is smaller than the sum of its proper divisors (96841320).

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

45407640 is a wasteful number, since it uses less digits than its factorization.

45407640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 237 counting only the distinct ones).

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

The square root of 45407640 is about 6738.5191251491. The cubic root of 45407640 is about 356.7601272918.

The spelling of 45407640 in words is "forty-five million, four hundred seven thousand, six hundred forty".