402198720 has 224 divisors, whose sum is σ = 1592372736. Its totient is φ = 83558400.

The previous prime is 402198703. The next prime is 402198761. The reversal of 402198720 is 27891204.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71200 + ... + 76640.

Almost surely, 2^402198720 is an apocalyptic number.

402198720 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 402198720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796186368).

402198720 is an abundant number, since it is smaller than the sum of its proper divisors (1190174016).

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

402198720 is a wasteful number, since it uses less digits than its factorization.

402198720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5479 (or 5469 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 402198720 is about 20054.8926698699. The cubic root of 402198720 is about 738.1538592702.

The spelling of 402198720 in words is "four hundred two million, one hundred ninety-eight thousand, seven hundred twenty".