488714990400 has 2016 divisors, whose sum is σ = 2336932648960. Its totient is φ = 97552097280.

The previous prime is 488714990369. The next prime is 488714990417. The reversal of 488714990400 is 4099417884.

488714990400 is a `hidden beast` number, since 4 + 8 + 8 + 7 + 149 + 90 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 672234837 + ... + 672235563.

Almost surely, 2^488714990400 is an apocalyptic number.

488714990400 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 488714990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1168466324480).

488714990400 is an abundant number, since it is smaller than the sum of its proper divisors (1848217658560).

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

488714990400 is a wasteful number, since it uses less digits than its factorization.

488714990400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 488714990400 in words is "four hundred eighty-eight billion, seven hundred fourteen million, nine hundred ninety thousand, four hundred".