45977856 has 72 divisors (see below), whose sum is σ = 123572064. Its totient is φ = 15175680.

The previous prime is 45977807. The next prime is 45977857. The reversal of 45977856 is 65877954.

It is a super-2 number, since 2×45977856² = 4227926484713472, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 45977799 and 45977808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45977857) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 100380 + ... + 100836.

Almost surely, 2^45977856 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 45977856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61786032).

45977856 is an abundant number, since it is smaller than the sum of its proper divisors (77594208).

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

45977856 is a wasteful number, since it uses less digits than its factorization.

45977856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607 (or 593 counting only the distinct ones).

The product of its digits is 2116800, while the sum is 51.

The square root of 45977856 is about 6780.6973092743. The cubic root of 45977856 is about 358.2472829370.

It can be divided in two parts, 45 and 977856, that added together give a triangular number (977901 = T₁₃₉₈).

The spelling of 45977856 in words is "forty-five million, nine hundred seventy-seven thousand, eight hundred fifty-six".