887468400 has 900 divisors, whose sum is σ = 4082858472. Its totient is φ = 182891520.

The previous prime is 887468371. The next prime is 887468431. The reversal of 887468400 is 4864788.

887468400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (900).

It is a super-3 number, since 3×887468400³ (a number of 28 digits) contains 333 as substring.

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 179 ways as a sum of consecutive naturals, for example, 20638779 + ... + 20638821.

Almost surely, 2^887468400 is an apocalyptic number.

887468400 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 887468400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2041429236).

887468400 is an abundant number, since it is smaller than the sum of its proper divisors (3195390072).

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

887468400 is a wasteful number, since it uses less digits than its factorization.

887468400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 887468400 is about 29790.4078521930. The cubic root of 887468400 is about 960.9872655964.

The spelling of 887468400 in words is "eight hundred eighty-seven million, four hundred sixty-eight thousand, four hundred".