45978816 has 112 divisors (see below), whose sum is σ = 132994400. Its totient is φ = 14017536.

The previous prime is 45978791. The next prime is 45978839. The reversal of 45978816 is 61887954.

It is a super-2 number, since 2×45978816² = 4228103041523712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 421770 + ... + 421878.

It is an arithmetic number, because the mean of its divisors is an integer number (1187450).

Almost surely, 2^45978816 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 45978816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66497200).

45978816 is an abundant number, since it is smaller than the sum of its proper divisors (87015584).

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

45978816 is a wasteful number, since it uses less digits than its factorization.

45978816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 127 counting only the distinct ones).

The product of its digits is 483840, while the sum is 48.

The square root of 45978816 is about 6780.7680980845. The cubic root of 45978816 is about 358.2497762749.

The spelling of 45978816 in words is "forty-five million, nine hundred seventy-eight thousand, eight hundred sixteen".