900158400 has 336 divisors, whose sum is σ = 3341095680. Its totient is φ = 235699200.

The previous prime is 900158387. The next prime is 900158407. The reversal of 900158400 is 4851009.

900158400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (900158407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2894245 + ... + 2894555.

Almost surely, 2^900158400 is an apocalyptic number.

900158400 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 900158400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1670547840).

900158400 is an abundant number, since it is smaller than the sum of its proper divisors (2440937280).

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

900158400 is a wasteful number, since it uses less digits than its factorization.

900158400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 900158400 is about 30002.6398838502. The cubic root of 900158400 is about 965.5460233269.

The spelling of 900158400 in words is "nine hundred million, one hundred fifty-eight thousand, four hundred".