905748480 has 672 divisors, whose sum is σ = 4007412864. Its totient is φ = 191102976.

The previous prime is 905748479. The next prime is 905748523. The reversal of 905748480 is 84847509.

905748480 is a `hidden beast` number, since 90 + 5 + 7 + 484 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 1560 × 1512 × 384.

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, 69672954 + ... + 69672966.

It is an arithmetic number, because the mean of its divisors is an integer number (5963412).

Almost surely, 2^905748480 is an apocalyptic number.

905748480 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 905748480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2003706432).

905748480 is an abundant number, since it is smaller than the sum of its proper divisors (3101664384).

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

905748480 is an equidigital number, since it uses as much as digits as its factorization.

905748480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 905748480 is about 30095.6555004207. The cubic root of 905748480 is about 967.5406148445.

The spelling of 905748480 in words is "nine hundred five million, seven hundred forty-eight thousand, four hundred eighty".