402021000 has 192 divisors, whose sum is σ = 1430956800. Its totient is φ = 101520000.

The previous prime is 402020999. The next prime is 402021007. The reversal of 402021000 is 120204.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (402021007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 169825 + ... + 172175.

It is an arithmetic number, because the mean of its divisors is an integer number (7452900).

Almost surely, 2^402021000 is an apocalyptic number.

402021000 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 402021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715478400).

402021000 is an abundant number, since it is smaller than the sum of its proper divisors (1028935800).

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

402021000 is a wasteful number, since it uses less digits than its factorization.

402021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2397 (or 2380 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 402021000 is about 20050.4613413258. The cubic root of 402021000 is about 738.0451202942.

Adding to 402021000 its reverse (120204), we get a palindrome (402141204).

The spelling of 402021000 in words is "four hundred two million, twenty-one thousand".