45955392 has 112 divisors (see below), whose sum is σ = 143572992. Its totient is φ = 12695040.

The previous prime is 45955333. The next prime is 45955397. The reversal of 45955392 is 29355954.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×45955392² = 4223796107747328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45955397) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41113 + ... + 42215.

Almost surely, 2^45955392 is an apocalyptic number.

45955392 is a gapful number since it is divisible by the number (42) 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 45955392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71786496).

45955392 is an abundant number, since it is smaller than the sum of its proper divisors (97617600).

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

45955392 is a wasteful number, since it uses less digits than its factorization.

45955392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1156 (or 1146 counting only the distinct ones).

The product of its digits is 243000, while the sum is 42.

The square root of 45955392 is about 6779.0406400906. The cubic root of 45955392 is about 358.1889289186.

The spelling of 45955392 in words is "forty-five million, nine hundred fifty-five thousand, three hundred ninety-two".