463290347520 has 2912 divisors, whose sum is σ = 2310242586624. Its totient is φ = 85996339200.

The previous prime is 463290347503. The next prime is 463290347521. The reversal of 463290347520 is 25743092364.

463290347520 is a `hidden beast` number, since 4 + 6 + 3 + 2 + 90 + 34 + 7 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (2912).

It is a super-2 number, since 2×463290347520² (a number of 24 digits) contains 22 as substring.

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 (463290347521) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 14944849905 + ... + 14944849935.

Almost surely, 2^463290347520 is an apocalyptic number.

463290347520 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 463290347520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1155121293312).

463290347520 is an abundant number, since it is smaller than the sum of its proper divisors (1846952239104).

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

463290347520 is a wasteful number, since it uses less digits than its factorization.

463290347520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 463290347520 in words is "four hundred sixty-three billion, two hundred ninety million, three hundred forty-seven thousand, five hundred twenty".