398962560 has 128 divisors (see below), whose sum is σ = 1312911360. Its totient is φ = 102942720.

The previous prime is 398962547. The next prime is 398962573. The reversal of 398962560 is 65269893.

It is an interprime number because it is at equal distance from previous prime (398962547) and next prime (398962573).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×398962560² = 318342248563507200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56169 + ... + 62871.

It is an arithmetic number, because the mean of its divisors is an integer number (10257120).

Almost surely, 2^398962560 is an apocalyptic number.

398962560 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 398962560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656455680).

398962560 is an abundant number, since it is smaller than the sum of its proper divisors (913948800).

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

398962560 is a wasteful number, since it uses less digits than its factorization.

398962560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6756 (or 6744 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 48.

The square root of 398962560 is about 19974.0471612540. The cubic root of 398962560 is about 736.1687546247.

The spelling of 398962560 in words is "three hundred ninety-eight million, nine hundred sixty-two thousand, five hundred sixty".