464696000 has 112 divisors (see below), whose sum is σ = 1191097440. Its totient is φ = 179379200.

The previous prime is 464695991. The next prime is 464696021. The reversal of 464696000 is 696464.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 230999 + ... + 233001.

Almost surely, 2^464696000 is an apocalyptic number.

464696000 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 464696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595548720).

464696000 is an abundant number, since it is smaller than the sum of its proper divisors (726401440).

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

464696000 is a wasteful number, since it uses less digits than its factorization.

464696000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2059 (or 2039 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 35.

The square root of 464696000 is about 21556.8086691885. The cubic root of 464696000 is about 774.5622224069.

The spelling of 464696000 in words is "four hundred sixty-four million, six hundred ninety-six thousand".