456252055350 has 192 divisors, whose sum is σ = 1393755793920. Its totient is φ = 96185779200.

The previous prime is 456252055321. The next prime is 456252055361. The reversal of 456252055350 is 53550252654.

It is a super-2 number, since 2×456252055350² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17581885 + ... + 17607815.

It is an arithmetic number, because the mean of its divisors is an integer number (7259144760).

Almost surely, 2^456252055350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456252055350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696877896960).

456252055350 is an abundant number, since it is smaller than the sum of its proper divisors (937503738570).

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

456252055350 is a wasteful number, since it uses less digits than its factorization.

456252055350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27255 (or 27250 counting only the distinct ones).

The product of its (nonzero) digits is 900000, while the sum is 42.

The spelling of 456252055350 in words is "four hundred fifty-six billion, two hundred fifty-two million, fifty-five thousand, three hundred fifty".