905477664 has 432 divisors, whose sum is σ = 3217421088. Its totient is φ = 221405184.

The previous prime is 905477663. The next prime is 905477669. The reversal of 905477664 is 466774509.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (905477663) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13514559 + ... + 13514625.

It is an arithmetic number, because the mean of its divisors is an integer number (7447734).

Almost surely, 2^905477664 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 905477664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1608710544).

905477664 is an abundant number, since it is smaller than the sum of its proper divisors (2311943424).

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

905477664 is a wasteful number, since it uses less digits than its factorization.

905477664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 48.

The square root of 905477664 is about 30091.1559100012. The cubic root of 905477664 is about 967.4441746795. Note that the first 3 decimals are identical.

The spelling of 905477664 in words is "nine hundred five million, four hundred seventy-seven thousand, six hundred sixty-four".