1990958400 has 336 divisors, whose sum is σ = 7687543680. Its totient is φ = 499507200.

The previous prime is 1990958393. The next prime is 1990958423. The reversal of 1990958400 is 48590991.

1990958400 is a `hidden beast` number, since 199 + 0 + 9 + 58 + 400 = 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 47 ways as a sum of consecutive naturals, for example, 733045 + ... + 735755.

Almost surely, 2^1990958400 is an apocalyptic number.

1990958400 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 1990958400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3843771840).

1990958400 is an abundant number, since it is smaller than the sum of its proper divisors (5696585280).

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

1990958400 is a wasteful number, since it uses less digits than its factorization.

1990958400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2759 (or 2738 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The square root of 1990958400 is about 44620.1568800469. The cubic root of 1990958400 is about 1258.0195645706.

The spelling of 1990958400 in words is "one billion, nine hundred ninety million, nine hundred fifty-eight thousand, four hundred".