398012400 has 240 divisors, whose sum is σ = 1432274400. Its totient is φ = 104970240.

The previous prime is 398012393. The next prime is 398012413. The reversal of 398012400 is 4210893.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1479466 + ... + 1479734.

It is an arithmetic number, because the mean of its divisors is an integer number (5967810).

Almost surely, 2^398012400 is an apocalyptic number.

398012400 is a gapful number since it is divisible by the number (30) 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 398012400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716137200).

398012400 is an abundant number, since it is smaller than the sum of its proper divisors (1034262000).

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

398012400 is a wasteful number, since it uses less digits than its factorization.

398012400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 398012400 is about 19950.2481187578. The cubic root of 398012400 is about 735.5838759110.

The spelling of 398012400 in words is "three hundred ninety-eight million, twelve thousand, four hundred".