4877870400 has 504 divisors, whose sum is σ = 18985284864. Its totient is φ = 1180569600.

The previous prime is 4877870377. The next prime is 4877870449. The reversal of 4877870400 is 40787784.

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 71 ways as a sum of consecutive naturals, for example, 13291017 + ... + 13291383.

It is an arithmetic number, because the mean of its divisors is an integer number (37669216).

Almost surely, 2^4877870400 is an apocalyptic number.

4877870400 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 4877870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9492642432).

4877870400 is an abundant number, since it is smaller than the sum of its proper divisors (14107414464).

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

4877870400 is a wasteful number, since it uses less digits than its factorization.

4877870400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 351232, while the sum is 45.

The square root of 4877870400 is about 69841.7525553304. The cubic root of 4877870400 is about 1695.9384470956.

The spelling of 4877870400 in words is "four billion, eight hundred seventy-seven million, eight hundred seventy thousand, four hundred".