901348800 has 336 divisors, whose sum is σ = 3309347712. Its totient is φ = 212889600.

The previous prime is 901348783. The next prime is 901348801. The reversal of 901348800 is 8843109.

It is a super-2 number, since 2×901348800² = 1624859318522880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (901348801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2270202 + ... + 2270598.

Almost surely, 2^901348800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 901348800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1654673856).

901348800 is an abundant number, since it is smaller than the sum of its proper divisors (2407998912).

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

901348800 is a wasteful number, since it uses less digits than its factorization.

901348800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 901348800 is about 30022.4715837987. The cubic root of 901348800 is about 965.9714594485.

The spelling of 901348800 in words is "nine hundred one million, three hundred forty-eight thousand, eight hundred".