464676585400 has 96 divisors (see below), whose sum is σ = 1129566319200. Its totient is φ = 177439116800.

The previous prime is 464676585383. The next prime is 464676585409. The reversal of 464676585400 is 4585676464.

It is a happy number.

It is a hoax number, since the sum of its digits (55) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464676585409) 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, 2242170 + ... + 2440630.

It is an arithmetic number, because the mean of its divisors is an integer number (11766315825).

Almost surely, 2^464676585400 is an apocalyptic number.

464676585400 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 464676585400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564783159600).

464676585400 is an abundant number, since it is smaller than the sum of its proper divisors (664889733800).

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

464676585400 is a wasteful number, since it uses less digits than its factorization.

464676585400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199009 (or 199000 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 55.

The spelling of 464676585400 in words is "four hundred sixty-four billion, six hundred seventy-six million, five hundred eighty-five thousand, four hundred".