488210400 has 108 divisors (see below), whose sum is σ = 1721577312. Its totient is φ = 130187520.

The previous prime is 488210383. The next prime is 488210417. The reversal of 488210400 is 4012884.

488210400 is a `hidden beast` number, since 48 + 8 + 210 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (488210383) and next prime (488210417).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 26704 + ... + 41103.

Almost surely, 2^488210400 is an apocalyptic number.

488210400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

488210400 is an abundant number, since it is smaller than the sum of its proper divisors (1233366912).

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

488210400 is a wasteful number, since it uses less digits than its factorization.

488210400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67833 (or 67817 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 488210400 is about 22095.4837014264. The cubic root of 488210400 is about 787.4125677686.

The spelling of 488210400 in words is "four hundred eighty-eight million, two hundred ten thousand, four hundred".