464054760 has 192 divisors, whose sum is σ = 1635051600. Its totient is φ = 113467392.

The previous prime is 464054741. The next prime is 464054771. The reversal of 464054760 is 67450464.

464054760 is a `hidden beast` number, since 4 + 640 + 5 + 4 + 7 + 6 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 129823236 + 334231524 = 11394^2 + 18282^2 .

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

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, 1071504 + ... + 1071936.

Almost surely, 2^464054760 is an apocalyptic number.

464054760 is a gapful number since it is divisible by the number (40) 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 464054760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817525800).

464054760 is an abundant number, since it is smaller than the sum of its proper divisors (1170996840).

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

464054760 is a wasteful number, since it uses less digits than its factorization.

464054760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 464054760 is about 21541.9302756276. The cubic root of 464054760 is about 774.2057822731.

The spelling of 464054760 in words is "four hundred sixty-four million, fifty-four thousand, seven hundred sixty".