463461600 has 288 divisors, whose sum is σ = 1762387200. Its totient is φ = 105745920.

The previous prime is 463461577. The next prime is 463461601. The reversal of 463461600 is 6164364.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463461601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 822919 + ... + 823481.

It is an arithmetic number, because the mean of its divisors is an integer number (6119400).

Almost surely, 2^463461600 is an apocalyptic number.

463461600 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 463461600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (881193600).

463461600 is an abundant number, since it is smaller than the sum of its proper divisors (1298925600).

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

463461600 is a wasteful number, since it uses less digits than its factorization.

463461600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 463461600 is about 21528.1583048806. The cubic root of 463461600 is about 773.8757754550.

The spelling of 463461600 in words is "four hundred sixty-three million, four hundred sixty-one thousand, six hundred".