905990400 has 648 divisors, whose sum is σ = 3900687840. Its totient is φ = 205148160.

The previous prime is 905990383. The next prime is 905990417. The reversal of 905990400 is 4099509.

It is an interprime number because it is at equal distance from previous prime (905990383) and next prime (905990417).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8467147 + ... + 8467253.

It is an arithmetic number, because the mean of its divisors is an integer number (6019580).

Almost surely, 2^905990400 is an apocalyptic number.

905990400 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 905990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1950343920).

905990400 is an abundant number, since it is smaller than the sum of its proper divisors (2994697440).

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

905990400 is a wasteful number, since it uses less digits than its factorization.

905990400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 905990400 is about 30099.6744168438. The cubic root of 905990400 is about 967.6267486128.

The spelling of 905990400 in words is "nine hundred five million, nine hundred ninety thousand, four hundred".