988304513400 has 72 divisors (see below), whose sum is σ = 3319055996880. Its totient is φ = 263547869760.

The previous prime is 988304513393. The next prime is 988304513429. The reversal of 988304513400 is 4315403889.

988304513400 is a `hidden beast` number, since 98 + 8 + 3 + 0 + 4 + 513 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×988304513400² (a number of 25 digits) 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 274527232 + ... + 274530831.

Almost surely, 2^988304513400 is an apocalyptic number.

988304513400 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

988304513400 is an abundant number, since it is smaller than the sum of its proper divisors (2330751483480).

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

988304513400 is a wasteful number, since it uses less digits than its factorization.

988304513400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549058085 (or 549058073 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 988304513400 in words is "nine hundred eighty-eight billion, three hundred four million, five hundred thirteen thousand, four hundred".