867974400 has 216 divisors, whose sum is σ = 3183407360. Its totient is φ = 231413760.

The previous prime is 867974399. The next prime is 867974411. The reversal of 867974400 is 4479768.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 170289 + ... + 175311.

Almost surely, 2^867974400 is an apocalyptic number.

867974400 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 867974400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1591703680).

867974400 is an abundant number, since it is smaller than the sum of its proper divisors (2315432960).

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

867974400 is a wasteful number, since it uses less digits than its factorization.

867974400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5058 (or 5033 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 867974400 is about 29461.4052617997. The cubic root of 867974400 is about 953.8988065601.

The spelling of 867974400 in words is "eight hundred sixty-seven million, nine hundred seventy-four thousand, four hundred".