464313780 has 288 divisors, whose sum is σ = 1695133440. Its totient is φ = 100638720.

The previous prime is 464313749. The next prime is 464313797. The reversal of 464313780 is 87313464.

464313780 is a `hidden beast` number, since 4 + 643 + 1 + 3 + 7 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3544315 + ... + 3544445.

It is an arithmetic number, because the mean of its divisors is an integer number (5885880).

Almost surely, 2^464313780 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 464313780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (847566720).

464313780 is an abundant number, since it is smaller than the sum of its proper divisors (1230819660).

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

464313780 is a wasteful number, since it uses less digits than its factorization.

464313780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 464313780 is about 21547.9414330000. The cubic root of 464313780 is about 774.3498008243.

The spelling of 464313780 in words is "four hundred sixty-four million, three hundred thirteen thousand, seven hundred eighty".