464928948 has 144 divisors (see below), whose sum is σ = 1338634752. Its totient is φ = 135907200.

The previous prime is 464928929. The next prime is 464928973. The reversal of 464928948 is 849829464.

464928948 is a `hidden beast` number, since 464 + 92 + 8 + 94 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 464928894 and 464928903.

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, 1485240 + ... + 1485552.

Almost surely, 2^464928948 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 464928948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669317376).

464928948 is an abundant number, since it is smaller than the sum of its proper divisors (873705804).

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

464928948 is a wasteful number, since it uses less digits than its factorization.

464928948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 360 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The square root of 464928948 is about 21562.2111111082. The cubic root of 464928948 is about 774.6916278528.

The spelling of 464928948 in words is "four hundred sixty-four million, nine hundred twenty-eight thousand, nine hundred forty-eight".