864475920 has 480 divisors, whose sum is σ = 3743760384. Its totient is φ = 173491200.

The previous prime is 864475853. The next prime is 864475921. The reversal of 864475920 is 29574468.

It is a happy number.

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 (864475921) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1718389 + ... + 1718891.

Almost surely, 2^864475920 is an apocalyptic number.

864475920 is a gapful number since it is divisible by the number (80) 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 864475920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1871880192).

864475920 is an abundant number, since it is smaller than the sum of its proper divisors (2879284464).

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

864475920 is a wasteful number, since it uses less digits than its factorization.

864475920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 864475920 is about 29401.9713624784. The cubic root of 864475920 is about 952.6154777636.

The spelling of 864475920 in words is "eight hundred sixty-four million, four hundred seventy-five thousand, nine hundred twenty".