464476320 has 576 divisors, whose sum is σ = 2037934080. Its totient is φ = 93542400.

The previous prime is 464476319. The next prime is 464476321. The reversal of 464476320 is 23674464.

464476320 is a `hidden beast` number, since 4 + 644 + 7 + 6 + 3 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (464476319) and next prime (464476321).

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

It is not an unprimeable number, because it can be changed into a prime (464476321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6541885 + ... + 6541955.

It is an arithmetic number, because the mean of its divisors is an integer number (3538080).

Almost surely, 2^464476320 is an apocalyptic number.

464476320 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 464476320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1018967040).

464476320 is an abundant number, since it is smaller than the sum of its proper divisors (1573457760).

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

464476320 is a wasteful number, since it uses less digits than its factorization.

464476320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The square root of 464476320 is about 21551.7126929625. The cubic root of 464476320 is about 774.4401478685.

The spelling of 464476320 in words is "four hundred sixty-four million, four hundred seventy-six thousand, three hundred twenty".