456299406 has 40 divisors (see below), whose sum is σ = 1044220320. Its totient is φ = 148861152.

The previous prime is 456299401. The next prime is 456299407. The reversal of 456299406 is 604992654.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456299401) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 22351 + ... + 37578.

It is an arithmetic number, because the mean of its divisors is an integer number (26105508).

Almost surely, 2^456299406 is an apocalyptic number.

456299406 is an abundant number, since it is smaller than the sum of its proper divisors (587920914).

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

456299406 is a wasteful number, since it uses less digits than its factorization.

456299406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59990 (or 59981 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 456299406 is about 21361.1658389705. The cubic root of 456299406 is about 769.8686490964.

The spelling of 456299406 in words is "four hundred fifty-six million, two hundred ninety-nine thousand, four hundred six".