463950252576 has 480 divisors, whose sum is σ = 1528436625408. Its totient is φ = 137295544320.

The previous prime is 463950252569. The next prime is 463950252581. The reversal of 463950252576 is 675252059364.

It is a happy number.

463950252576 is a `hidden beast` number, since 4 + 6 + 39 + 502 + 52 + 57 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 73980321 + ... + 73986591.

Almost surely, 2^463950252576 is an apocalyptic number.

463950252576 is a gapful number since it is divisible by the number (46) 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 463950252576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764218312704).

463950252576 is an abundant number, since it is smaller than the sum of its proper divisors (1064486372832).

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

463950252576 is a wasteful number, since it uses less digits than its factorization.

463950252576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6406 (or 6389 counting only the distinct ones).

The product of its (nonzero) digits is 13608000, while the sum is 54.

The spelling of 463950252576 in words is "four hundred sixty-three billion, nine hundred fifty million, two hundred fifty-two thousand, five hundred seventy-six".