1995062400 has 480 divisors, whose sum is σ = 7575519600. Its totient is φ = 516741120.

The previous prime is 1995062369. The next prime is 1995062437. The reversal of 1995062400 is 42605991.

1995062400 is a `hidden beast` number, since 199 + 5 + 0 + 62 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 11145511 + ... + 11145689.

Almost surely, 2^1995062400 is an apocalyptic number.

1995062400 is a gapful number since it is divisible by the number (10) 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 1995062400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3787759800).

1995062400 is an abundant number, since it is smaller than the sum of its proper divisors (5580457200).

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

1995062400 is a wasteful number, since it uses less digits than its factorization.

1995062400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 1995062400 is about 44666.1213897065. The cubic root of 1995062400 is about 1258.8833644505.

The spelling of 1995062400 in words is "one billion, nine hundred ninety-five million, sixty-two thousand, four hundred".