484916400 has 90 divisors (see below), whose sum is σ = 1682807100. Its totient is φ = 129310080.

The previous prime is 484916371. The next prime is 484916401. The reversal of 484916400 is 4619484.

It is a happy number.

484916400 is a `hidden beast` number, since 4 + 8 + 4 + 9 + 1 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (90).

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

It is not an unprimeable number, because it can be changed into a prime (484916401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 63750 + ... + 70949.

Almost surely, 2^484916400 is an apocalyptic number.

484916400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

484916400 is an abundant number, since it is smaller than the sum of its proper divisors (1197890700).

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

484916400 is a wasteful number, since it uses less digits than its factorization.

484916400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134723 (or 134709 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 484916400 is about 22020.8174235200. The cubic root of 484916400 is about 785.6376551790.

The spelling of 484916400 in words is "four hundred eighty-four million, nine hundred sixteen thousand, four hundred".