45972210 has 64 divisors (see below), whose sum is σ = 118195200. Its totient is φ = 11408832.

The previous prime is 45972197. The next prime is 45972211. The reversal of 45972210 is 1227954.

It is a super-2 number, since 2×45972210² = 4226888184568200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (45972211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32947 + ... + 34313.

It is an arithmetic number, because the mean of its divisors is an integer number (1846800).

Almost surely, 2^45972210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45972210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59097600).

45972210 is an abundant number, since it is smaller than the sum of its proper divisors (72222990).

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

45972210 is a wasteful number, since it uses less digits than its factorization.

45972210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1455.

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 45972210 is about 6780.2809676296. The cubic root of 45972210 is about 358.2326182909.

The spelling of 45972210 in words is "forty-five million, nine hundred seventy-two thousand, two hundred ten".