456748554240 has 1728 divisors, whose sum is σ = 1898414612640. Its totient is φ = 105106636800.

The previous prime is 456748554233. The next prime is 456748554253. The reversal of 456748554240 is 42455847654.

456748554240 is a `hidden beast` number, since 4 + 5 + 6 + 7 + 48 + 554 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11140208620 + ... + 11140208660.

Almost surely, 2^456748554240 is an apocalyptic number.

456748554240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456748554240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (949207306320).

456748554240 is an abundant number, since it is smaller than the sum of its proper divisors (1441666058400).

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

456748554240 is a wasteful number, since it uses less digits than its factorization.

456748554240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 21504000, while the sum is 54.

The spelling of 456748554240 in words is "four hundred fifty-six billion, seven hundred forty-eight million, five hundred fifty-four thousand, two hundred forty".