864042480 has 360 divisors, whose sum is σ = 3555910800. Its totient is φ = 186955776.

The previous prime is 864042467. The next prime is 864042497. The reversal of 864042480 is 84240468.

864042480 is a `hidden beast` number, since 8 + 6 + 404 + 248 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 669676 + ... + 670964.

It is an arithmetic number, because the mean of its divisors is an integer number (9877530).

Almost surely, 2^864042480 is an apocalyptic number.

864042480 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 864042480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1777955400).

864042480 is an abundant number, since it is smaller than the sum of its proper divisors (2691868320).

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

864042480 is a wasteful number, since it uses less digits than its factorization.

864042480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1341 (or 1325 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 864042480 is about 29394.5995039905. The cubic root of 864042480 is about 952.4562403688.

The spelling of 864042480 in words is "eight hundred sixty-four million, forty-two thousand, four hundred eighty".