285955601400 has 384 divisors, whose sum is σ = 1148646720000. Its totient is φ = 65360856960.

The previous prime is 285955601377. The next prime is 285955601413. The reversal of 285955601400 is 4106559582.

285955601400 is a `hidden beast` number, since 2 + 8 + 59 + 556 + 0 + 1 + 40 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct 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 95 ways as a sum of consecutive naturals, for example, 1775007 + ... + 1929393.

It is an arithmetic number, because the mean of its divisors is an integer number (2991267500).

Almost surely, 2^285955601400 is an apocalyptic number.

285955601400 is a gapful number since it is divisible by the number (20) 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 285955601400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574323360000).

285955601400 is an abundant number, since it is smaller than the sum of its proper divisors (862691118600).

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

285955601400 is a wasteful number, since it uses less digits than its factorization.

285955601400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154433 (or 154404 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 285955601400 in words is "two hundred eighty-five billion, nine hundred fifty-five million, six hundred one thousand, four hundred".