496348430400 has 945 divisors, whose sum is σ = 1944405611181. Its totient is φ = 124175877120.

The previous prime is 496348430387. The next prime is 496348430407. The reversal of 496348430400 is 4034843694.

It is a happy number.

The square root of 496348430400 is 704520.

It is a perfect power (a square), and thus also a powerful number.

496348430400 is a `hidden beast` number, since 4 + 9 + 634 + 8 + 4 + 3 + 0 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 178685434944 + 317662995456 = 422712^2 + 563616^2 .

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

It is not an unprimeable number, because it can be changed into a prime (496348430407) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 4818916749 + ... + 4818916851.

Almost surely, 2^496348430400 is an apocalyptic number.

496348430400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

496348430400 is the 704520-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 496348430400

496348430400 is an abundant number, since it is smaller than the sum of its proper divisors (1448057180781).

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

496348430400 is a wasteful number, since it uses less digits than its factorization.

496348430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 496348430400 in words is "four hundred ninety-six billion, three hundred forty-eight million, four hundred thirty thousand, four hundred".