870450926400 has 1344 divisors, whose sum is σ = 3631967539200. Its totient is φ = 200890368000.

The previous prime is 870450926351. The next prime is 870450926453. The reversal of 870450926400 is 4629054078.

It is a happy number.

870450926400 is a `hidden beast` number, since 8 + 70 + 450 + 92 + 6 + 40 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 837777081 + ... + 837778119.

It is an arithmetic number, because the mean of its divisors is an integer number (2702356800).

Almost surely, 2^870450926400 is an apocalyptic number.

870450926400 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 870450926400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1815983769600).

870450926400 is an abundant number, since it is smaller than the sum of its proper divisors (2761516612800).

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

870450926400 is a wasteful number, since it uses less digits than its factorization.

870450926400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1165 (or 1144 counting only the distinct ones).

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

The spelling of 870450926400 in words is "eight hundred seventy billion, four hundred fifty million, nine hundred twenty-six thousand, four hundred".