45629024 has 48 divisors (see below), whose sum is σ = 105993216. Its totient is φ = 18921600.

The previous prime is 45629009. The next prime is 45629027. The reversal of 45629024 is 42092654.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45629027) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3659 + ... + 10229.

It is an arithmetic number, because the mean of its divisors is an integer number (2208192).

Almost surely, 2^45629024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45629024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52996608).

45629024 is an abundant number, since it is smaller than the sum of its proper divisors (60364192).

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

45629024 is a wasteful number, since it uses less digits than its factorization.

45629024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6619 (or 6611 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 45629024 is about 6754.9259063294. The cubic root of 45629024 is about 357.3389797628.

The spelling of 45629024 in words is "forty-five million, six hundred twenty-nine thousand, twenty-four".