45476032 has 56 divisors (see below), whose sum is σ = 104461056. Its totient is φ = 19239168.

The previous prime is 45476027. The next prime is 45476047. The reversal of 45476032 is 23067454.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 45475985 and 45476003.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36573 + ... + 37795.

It is an arithmetic number, because the mean of its divisors is an integer number (1865376).

Almost surely, 2^45476032 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 45476032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52230528).

45476032 is an abundant number, since it is smaller than the sum of its proper divisors (58985024).

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

45476032 is a wasteful number, since it uses less digits than its factorization.

45476032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1325 (or 1315 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 31.

The square root of 45476032 is about 6743.5919212242. The cubic root of 45476032 is about 356.9391522227.

The spelling of 45476032 in words is "forty-five million, four hundred seventy-six thousand, thirty-two".