45977220 has 120 divisors (see below), whose sum is σ = 146178648. Its totient is φ = 12096000.

The previous prime is 45977219. The next prime is 45977237. The reversal of 45977220 is 2277954.

45977220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 19289664 + 26687556 = 4392^2 + 5166^2 .

It is a super-2 number, since 2×45977220² = 4227809517856800, which contains 22 as substring.

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

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 163480 + ... + 163760.

Almost surely, 2^45977220 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 45977220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73089324).

45977220 is an abundant number, since it is smaller than the sum of its proper divisors (100201428).

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

45977220 is a wasteful number, since it uses less digits than its factorization.

45977220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 45977220 is about 6780.6504112806. The cubic root of 45977220 is about 358.2456310815.

The spelling of 45977220 in words is "forty-five million, nine hundred seventy-seven thousand, two hundred twenty".