456455340 has 144 divisors (see below), whose sum is σ = 1517836320. Its totient is φ = 110115840.

The previous prime is 456455339. The next prime is 456455359. The reversal of 456455340 is 43554654.

456455340 is a `hidden beast` number, since 4 + 5 + 64 + 553 + 40 = 666.

It is a super-3 number, since 3×456455340³ (a number of 27 digits) contains 333 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 = 456455295 and 456455304.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 532192 + ... + 533048.

It is an arithmetic number, because the mean of its divisors is an integer number (10540530).

Almost surely, 2^456455340 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 456455340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758918160).

456455340 is an abundant number, since it is smaller than the sum of its proper divisors (1061380980).

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

456455340 is a wasteful number, since it uses less digits than its factorization.

456455340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1152 (or 1147 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The square root of 456455340 is about 21364.8154684285. The cubic root of 456455340 is about 769.9563364233.

The spelling of 456455340 in words is "four hundred fifty-six million, four hundred fifty-five thousand, three hundred forty".