402456240 has 120 divisors (see below), whose sum is σ = 1357948800. Its totient is φ = 106816512.

The previous prime is 402456239. The next prime is 402456247. The reversal of 402456240 is 42654204.

402456240 is a `hidden beast` number, since 40 + 24 + 562 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×402456240² = 323942050229875200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (402456247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 166561 + ... + 168959.

It is an arithmetic number, because the mean of its divisors is an integer number (11316240).

Almost surely, 2^402456240 is an apocalyptic number.

402456240 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 402456240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678974400).

402456240 is an abundant number, since it is smaller than the sum of its proper divisors (955492560).

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

402456240 is a wasteful number, since it uses less digits than its factorization.

402456240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2651 (or 2642 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 402456240 is about 20061.3120209023. The cubic root of 402456240 is about 738.3113675007.

The spelling of 402456240 in words is "four hundred two million, four hundred fifty-six thousand, two hundred forty".