456361026 has 64 divisors (see below), whose sum is σ = 1013354496. Its totient is φ = 135864000.

The previous prime is 456361007. The next prime is 456361049. The reversal of 456361026 is 620163654.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1486365 + ... + 1486671.

It is an arithmetic number, because the mean of its divisors is an integer number (15833664).

Almost surely, 2^456361026 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456361026, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506677248).

456361026 is an abundant number, since it is smaller than the sum of its proper divisors (556993470).

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

456361026 is a wasteful number, since it uses less digits than its factorization.

456361026 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647.

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 456361026 is about 21362.6081272863. The cubic root of 456361026 is about 769.9033026376.

The spelling of 456361026 in words is "four hundred fifty-six million, three hundred sixty-one thousand, twenty-six".