464057748 has 360 divisors, whose sum is σ = 1622174400. Its totient is φ = 112907520.

The previous prime is 464057647. The next prime is 464057753. The reversal of 464057748 is 847750464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5214088 + ... + 5214176.

It is an arithmetic number, because the mean of its divisors is an integer number (4506040).

Almost surely, 2^464057748 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 464057748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811087200).

464057748 is an abundant number, since it is smaller than the sum of its proper divisors (1158116652).

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

464057748 is a wasteful number, since it uses less digits than its factorization.

464057748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The square root of 464057748 is about 21541.9996286324. Note that the first 3 decimals coincide. The cubic root of 464057748 is about 774.2074439462.

The spelling of 464057748 in words is "four hundred sixty-four million, fifty-seven thousand, seven hundred forty-eight".