456607340 has 24 divisors (see below), whose sum is σ = 1095857952. Its totient is φ = 156551040.

The previous prime is 456607337. The next prime is 456607351. The reversal of 456607340 is 43706654.

It is a super-3 number, since 3×456607340³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 456607340.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1630601 + ... + 1630880.

It is an arithmetic number, because the mean of its divisors is an integer number (45660748).

Almost surely, 2^456607340 is an apocalyptic number.

It is an amenable number.

456607340 is an abundant number, since it is smaller than the sum of its proper divisors (639250612).

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

456607340 is a wasteful number, since it uses less digits than its factorization.

456607340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3261497 (or 3261495 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 35.

The square root of 456607340 is about 21368.3724228122. The cubic root of 456607340 is about 770.0417923007.

The spelling of 456607340 in words is "four hundred fifty-six million, six hundred seven thousand, three hundred forty".