456365340 has 240 divisors, whose sum is σ = 1543383072. Its totient is φ = 112472064.

The previous prime is 456365297. The next prime is 456365387. The reversal of 456365340 is 43563654.

456365340 is a `hidden beast` number, since 4 + 563 + 6 + 53 + 40 = 666.

It is a super-4 number, since 4×456365340⁴ (a number of 36 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 456365295 and 456365304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2010307 + ... + 2010533.

Almost surely, 2^456365340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456365340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771691536).

456365340 is an abundant number, since it is smaller than the sum of its proper divisors (1087017732).

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

456365340 is a wasteful number, since it uses less digits than its factorization.

456365340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The square root of 456365340 is about 21362.7090978649. The cubic root of 456365340 is about 769.9057286061.

The spelling of 456365340 in words is "four hundred fifty-six million, three hundred sixty-five thousand, three hundred forty".