45976632 has 128 divisors (see below), whose sum is σ = 133056000. Its totient is φ = 13128192.

The previous prime is 45976597. The next prime is 45976633. The reversal of 45976632 is 23667954.

45976632 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 2×45976632² = 4227701380126848, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45976633) 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, 308494 + ... + 308642.

It is an arithmetic number, because the mean of its divisors is an integer number (1039500).

Almost surely, 2^45976632 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 45976632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66528000).

45976632 is an abundant number, since it is smaller than the sum of its proper divisors (87079368).

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

45976632 is a wasteful number, since it uses less digits than its factorization.

45976632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 233 counting only the distinct ones).

The product of its digits is 272160, while the sum is 42.

The square root of 45976632 is about 6780.6070524696. The cubic root of 45976632 is about 358.2441038808.

The spelling of 45976632 in words is "forty-five million, nine hundred seventy-six thousand, six hundred thirty-two".