1956398400 has 672 divisors, whose sum is σ = 8163763200. Its totient is φ = 451123200.

The previous prime is 1956398387. The next prime is 1956398419. The reversal of 1956398400 is 48936591.

It is a happy number.

1956398400 is a `hidden beast` number, since 1 + 9 + 5 + 639 + 8 + 4 + 0 + 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 95 ways as a sum of consecutive naturals, for example, 10929511 + ... + 10929689.

Almost surely, 2^1956398400 is an apocalyptic number.

1956398400 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 1956398400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4081881600).

1956398400 is an abundant number, since it is smaller than the sum of its proper divisors (6207364800).

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

1956398400 is a wasteful number, since it uses less digits than its factorization.

1956398400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 1956398400 is about 44231.1926133583. The cubic root of 1956398400 is about 1250.6979355696.

The spelling of 1956398400 in words is "one billion, nine hundred fifty-six million, three hundred ninety-eight thousand, four hundred".