402240000 has 200 divisors, whose sum is σ = 1342257840. Its totient is φ = 107008000.

The previous prime is 402239983. The next prime is 402240011. The reversal of 402240000 is 42204.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 959791 + ... + 960209.

Almost surely, 2^402240000 is an apocalyptic number.

402240000 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 402240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671128920).

402240000 is an abundant number, since it is smaller than the sum of its proper divisors (940017840).

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

402240000 is an frugal number, since it uses more digits than its factorization.

402240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 402240000 is about 20055.9218187547. The cubic root of 402240000 is about 738.1791120846.

Adding to 402240000 its reverse (42204), we get a palindrome (402282204).

The spelling of 402240000 in words is "four hundred two million, two hundred forty thousand".