45403632 has 80 divisors (see below), whose sum is σ = 131182080. Its totient is φ = 15035328.

The previous prime is 45403621. The next prime is 45403639. The reversal of 45403632 is 23630454.

It is a super-2 number, since 2×45403632² = 4122979597582848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 45403596 and 45403605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45403639) 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, 97833 + ... + 98295.

It is an arithmetic number, because the mean of its divisors is an integer number (1639776).

Almost surely, 2^45403632 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 45403632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65591040).

45403632 is an abundant number, since it is smaller than the sum of its proper divisors (85778448).

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

45403632 is a wasteful number, since it uses less digits than its factorization.

45403632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 45403632 is about 6738.2217238675. The cubic root of 45403632 is about 356.7496302575.

The spelling of 45403632 in words is "forty-five million, four hundred three thousand, six hundred thirty-two".