45356472 has 96 divisors (see below), whose sum is σ = 144967680. Its totient is φ = 12536640.

The previous prime is 45356471. The next prime is 45356497. The reversal of 45356472 is 27465354.

45356472 is a `hidden beast` number, since 4 + 5 + 3 + 5 + 647 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45356471) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14173 + ... + 17075.

It is an arithmetic number, because the mean of its divisors is an integer number (1510080).

Almost surely, 2^45356472 is an apocalyptic number.

45356472 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 45356472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72483840).

45356472 is an abundant number, since it is smaller than the sum of its proper divisors (99611208).

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

45356472 is a wasteful number, since it uses less digits than its factorization.

45356472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2953 (or 2946 counting only the distinct ones).

The product of its digits is 100800, while the sum is 36.

The square root of 45356472 is about 6734.7213750830. The cubic root of 45356472 is about 356.6260708252.

The spelling of 45356472 in words is "forty-five million, three hundred fifty-six thousand, four hundred seventy-two".