405253440 has 168 divisors, whose sum is σ = 1402372608. Its totient is φ = 107412480.

The previous prime is 405253417. The next prime is 405253469. The reversal of 405253440 is 44352504.

405253440 = T₂₃₂ + T₂₃₃ + ... + T₁₃₄₆.

405253440 is a `hidden beast` number, since 40 + 52 + 534 + 40 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 641925 + ... + 642555.

It is an arithmetic number, because the mean of its divisors is an integer number (8347456).

Almost surely, 2^405253440 is an apocalyptic number.

405253440 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 405253440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701186304).

405253440 is an abundant number, since it is smaller than the sum of its proper divisors (997119168).

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

405253440 is a wasteful number, since it uses less digits than its factorization.

405253440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 877 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 405253440 is about 20130.9075801366. The cubic root of 405253440 is about 740.0179201894.

The spelling of 405253440 in words is "four hundred five million, two hundred fifty-three thousand, four hundred forty".