906250464 has 192 divisors, whose sum is σ = 3125606400. Its totient is φ = 249951744.

The previous prime is 906250463. The next prime is 906250469. The reversal of 906250464 is 464052609.

906250464 is a `hidden beast` number, since 90 + 6 + 2 + 504 + 64 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (906250463) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 172809 + ... + 177975.

It is an arithmetic number, because the mean of its divisors is an integer number (16279200).

Almost surely, 2^906250464 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 906250464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1562803200).

906250464 is an abundant number, since it is smaller than the sum of its proper divisors (2219355936).

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

906250464 is a wasteful number, since it uses less digits than its factorization.

906250464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5222 (or 5208 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 906250464 is about 30103.9941536003. The cubic root of 906250464 is about 967.7193253143.

The spelling of 906250464 in words is "nine hundred six million, two hundred fifty thousand, four hundred sixty-four".