890463974400 has 3564 divisors, whose sum is σ = 4497525535776. Its totient is φ = 170798284800.

The previous prime is 890463974371. The next prime is 890463974401. The reversal of 890463974400 is 4479364098.

It is a happy number.

890463974400 is a `hidden beast` number, since 8 + 90 + 4 + 63 + 97 + 4 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (3564).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (890463974401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 68497228794 + ... + 68497228806.

Almost surely, 2^890463974400 is an apocalyptic number.

890463974400 is a gapful number since it is divisible by the number (80) 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 890463974400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2248762767888).

890463974400 is an abundant number, since it is smaller than the sum of its proper divisors (3607061561376).

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

890463974400 is a wasteful number, since it uses less digits than its factorization.

890463974400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 890463974400 in words is "eight hundred ninety billion, four hundred sixty-three million, nine hundred seventy-four thousand, four hundred".