464782752 has 384 divisors, whose sum is σ = 1666990080. Its totient is φ = 123171840.

The previous prime is 464782741. The next prime is 464782757. The reversal of 464782752 is 257287464.

It is a happy number.

Its product of digits (752640) is a multiple of the sum of its prime divisors (147).

It is a junction number, because it is equal to n+sod(n) for n = 464782698 and 464782707.

It is not an unprimeable number, because it can be changed into a prime (464782757) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6937023 + ... + 6937089.

It is an arithmetic number, because the mean of its divisors is an integer number (4341120).

Almost surely, 2^464782752 is an apocalyptic number.

464782752 is a gapful number since it is divisible by the number (42) 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 464782752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833495040).

464782752 is an abundant number, since it is smaller than the sum of its proper divisors (1202207328).

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

464782752 is a wasteful number, since it uses less digits than its factorization.

464782752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 147 counting only the distinct ones).

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

The square root of 464782752 is about 21558.8207469704. The cubic root of 464782752 is about 774.6104192502.

The spelling of 464782752 in words is "four hundred sixty-four million, seven hundred eighty-two thousand, seven hundred fifty-two".