403052796720 has 1600 divisors, whose sum is σ = 1760515891200. Its totient is φ = 84495882240.

The previous prime is 403052796677. The next prime is 403052796739. The reversal of 403052796720 is 27697250304.

403052796720 is a `hidden beast` number, since 4 + 0 + 30 + 527 + 96 + 7 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 3697732026 + ... + 3697732134.

It is an arithmetic number, because the mean of its divisors is an integer number (1100322432).

Almost surely, 2^403052796720 is an apocalyptic number.

403052796720 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 403052796720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (880257945600).

403052796720 is an abundant number, since it is smaller than the sum of its proper divisors (1357463094480).

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

403052796720 is a wasteful number, since it uses less digits than its factorization.

403052796720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 403052796720 in words is "four hundred three billion, fifty-two million, seven hundred ninety-six thousand, seven hundred twenty".