456653421 has 48 divisors (see below), whose sum is σ = 779475840. Its totient is φ = 252201600.

The previous prime is 456653419. The next prime is 456653447. The reversal of 456653421 is 124356654.

456653421 is a `hidden beast` number, since 4 + 566 + 53 + 42 + 1 = 666.

It is not a de Polignac number, because 456653421 - 2¹ = 456653419 is a prime.

It is a super-5 number, since 5×456653421⁵ (a number of 44 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456653221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 272775 + ... + 274443.

It is an arithmetic number, because the mean of its divisors is an integer number (16239080).

Almost surely, 2^456653421 is an apocalyptic number.

It is an amenable number.

456653421 is a deficient number, since it is larger than the sum of its proper divisors (322822419).

456653421 is a wasteful number, since it uses less digits than its factorization.

456653421 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1826 (or 1823 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 456653421 is about 21369.4506480630. The cubic root of 456653421 is about 770.0676957405.

The spelling of 456653421 in words is "four hundred fifty-six million, six hundred fifty-three thousand, four hundred twenty-one".