45950760 has 128 divisors (see below), whose sum is σ = 154713600. Its totient is φ = 12130560.

The previous prime is 45950731. The next prime is 45950767. The reversal of 45950760 is 6705954.

45950760 is a `hidden beast` number, since 4 + 595 + 0 + 7 + 60 = 666.

45950760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×45950760² = 4222944689155200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (45950767) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 169425 + ... + 169695.

It is an arithmetic number, because the mean of its divisors is an integer number (1208700).

Almost surely, 2^45950760 is an apocalyptic number.

45950760 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 45950760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77356800).

45950760 is an abundant number, since it is smaller than the sum of its proper divisors (108762840).

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

45950760 is a wasteful number, since it uses less digits than its factorization.

45950760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 45950760 is about 6778.6989902193. The cubic root of 45950760 is about 358.1768941548.

The spelling of 45950760 in words is "forty-five million, nine hundred fifty thousand, seven hundred sixty".