90425462400 has 2304 divisors, whose sum is σ = 436022092800. Its totient is φ = 18114969600.

The previous prime is 90425462383. The next prime is 90425462411. The reversal of 90425462400 is 426452409.

90425462400 is a `hidden beast` number, since 9 + 0 + 4 + 25 + 4 + 624 + 0 + 0 = 666.

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 287 ways as a sum of consecutive naturals, for example, 1706140774 + ... + 1706140826.

It is an arithmetic number, because the mean of its divisors is an integer number (189245700).

Almost surely, 2^90425462400 is an apocalyptic number.

90425462400 is a gapful number since it is divisible by the number (90) 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 90425462400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218011046400).

90425462400 is an abundant number, since it is smaller than the sum of its proper divisors (345596630400).

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

90425462400 is a wasteful number, since it uses less digits than its factorization.

90425462400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 90425462400 in words is "ninety billion, four hundred twenty-five million, four hundred sixty-two thousand, four hundred".