90455400 has 192 divisors, whose sum is σ = 356227200. Its totient is φ = 20666880.

The previous prime is 90455377. The next prime is 90455411. The reversal of 90455400 is 455409.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 36604 + ... + 38996.

It is an arithmetic number, because the mean of its divisors is an integer number (1855350).

Almost surely, 2^90455400 is an apocalyptic number.

90455400 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 90455400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178113600).

90455400 is an abundant number, since it is smaller than the sum of its proper divisors (265771800).

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

90455400 is a wasteful number, since it uses less digits than its factorization.

90455400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2425 (or 2410 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 90455400 is about 9510.8043823853. The cubic root of 90455400 is about 448.8950669382.

The spelling of 90455400 in words is "ninety million, four hundred fifty-five thousand, four hundred".