398502720 has 448 divisors, whose sum is σ = 1755648000. Its totient is φ = 82667520.

The previous prime is 398502701. The next prime is 398502743. The reversal of 398502720 is 27205893.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 664981 + ... + 665579.

Almost surely, 2^398502720 is an apocalyptic number.

398502720 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 398502720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877824000).

398502720 is an abundant number, since it is smaller than the sum of its proper divisors (1357145280).

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

398502720 is a wasteful number, since it uses less digits than its factorization.

398502720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 398502720 is about 19962.5329054206. The cubic root of 398502720 is about 735.8858124679.

The spelling of 398502720 in words is "three hundred ninety-eight million, five hundred two thousand, seven hundred twenty".