456144430 has 48 divisors (see below), whose sum is σ = 977367600. Its totient is φ = 152748288.

The previous prime is 456144427. The next prime is 456144463. The reversal of 456144430 is 34441654.

It is a junction number, because it is equal to n+sod(n) for n = 456144392 and 456144401.

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, 10246 + ... + 31894.

It is an arithmetic number, because the mean of its divisors is an integer number (20361825).

Almost surely, 2^456144430 is an apocalyptic number.

456144430 is an abundant number, since it is smaller than the sum of its proper divisors (521223170).

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

456144430 is a wasteful number, since it uses less digits than its factorization.

456144430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21713 (or 21706 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

The square root of 456144430 is about 21357.5380135445. The cubic root of 456144430 is about 769.7814806917.

The spelling of 456144430 in words is "four hundred fifty-six million, one hundred forty-four thousand, four hundred thirty".