45977400 has 288 divisors, whose sum is σ = 182800800. Its totient is φ = 10137600.

The previous prime is 45977389. The next prime is 45977413. The reversal of 45977400 is 477954.

It is a happy number.

It is a super-2 number, since 2×45977400² = 4227842621520000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 516556 + ... + 516644.

It is an arithmetic number, because the mean of its divisors is an integer number (634725).

Almost surely, 2^45977400 is an apocalyptic number.

45977400 is a gapful number since it is divisible by the number (40) 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 45977400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91400400).

45977400 is an abundant number, since it is smaller than the sum of its proper divisors (136823400).

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

45977400 is a wasteful number, since it uses less digits than its factorization.

45977400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 147 counting only the distinct ones).

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

The square root of 45977400 is about 6780.6636843306. The cubic root of 45977400 is about 358.2460985893.

The spelling of 45977400 in words is "forty-five million, nine hundred seventy-seven thousand, four hundred".