486977400 has 384 divisors, whose sum is σ = 2066534400. Its totient is φ = 102643200.

The previous prime is 486977389. The next prime is 486977411. The reversal of 486977400 is 4779684.

It is an interprime number because it is at equal distance from previous prime (486977389) and next prime (486977411).

It is a super-2 number, since 2×486977400² = 474293976221520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 490905 + ... + 491895.

It is an arithmetic number, because the mean of its divisors is an integer number (5381600).

Almost surely, 2^486977400 is an apocalyptic number.

486977400 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 486977400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1033267200).

486977400 is an abundant number, since it is smaller than the sum of its proper divisors (1579557000).

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

486977400 is a wasteful number, since it uses less digits than its factorization.

486977400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1036 (or 1021 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 486977400 is about 22067.5644328956. The cubic root of 486977400 is about 786.7491255451.

The spelling of 486977400 in words is "four hundred eighty-six million, nine hundred seventy-seven thousand, four hundred".