463207563400 has 96 divisors (see below), whose sum is σ = 1115449533000. Its totient is φ = 178676305920.

The previous prime is 463207563389. The next prime is 463207563407. The reversal of 463207563400 is 4365702364.

It can be written as a sum of positive squares in 12 ways, for example, as 26199307044 + 437008256356 = 161862^2 + 661066^2 .

It is a super-2 number, since 2×463207563400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (463207563407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4760032 + ... + 4856368.

Almost surely, 2^463207563400 is an apocalyptic number.

463207563400 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 463207563400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557724766500).

463207563400 is an abundant number, since it is smaller than the sum of its proper divisors (652241969600).

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

463207563400 is a wasteful number, since it uses less digits than its factorization.

463207563400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97211 (or 97202 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 40.

The spelling of 463207563400 in words is "four hundred sixty-three billion, two hundred seven million, five hundred sixty-three thousand, four hundred".