906470400 has 528 divisors, whose sum is σ = 3472367040. Its totient is φ = 206438400.

The previous prime is 906470393. The next prime is 906470441. The reversal of 906470400 is 4074609.

It is a tau number, because it is divible by the number of its divisors (528).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24499182 + ... + 24499218.

Almost surely, 2^906470400 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 906470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1736183520).

906470400 is an abundant number, since it is smaller than the sum of its proper divisors (2565896640).

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

906470400 is a wasteful number, since it uses less digits than its factorization.

906470400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 906470400 is about 30107.6468691926. The cubic root of 906470400 is about 967.7976035647.

The spelling of 906470400 in words is "nine hundred six million, four hundred seventy thousand, four hundred".