1890950400 has 432 divisors, whose sum is σ = 7177873920. Its totient is φ = 486604800.

The previous prime is 1890950363. The next prime is 1890950419. The reversal of 1890950400 is 40590981.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5356624 + ... + 5356976.

Almost surely, 2^1890950400 is an apocalyptic number.

1890950400 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 1890950400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3588936960).

1890950400 is an abundant number, since it is smaller than the sum of its proper divisors (5286923520).

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

1890950400 is a wasteful number, since it uses less digits than its factorization.

1890950400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 1890950400 is about 43485.0595032363. The cubic root of 1890950400 is about 1236.5927969897.

The spelling of 1890950400 in words is "one billion, eight hundred ninety million, nine hundred fifty thousand, four hundred".