464106720 has 384 divisors, whose sum is σ = 1889879040. Its totient is φ = 92897280.

The previous prime is 464106677. The next prime is 464106763. The reversal of 464106720 is 27601464.

It is an interprime number because it is at equal distance from previous prime (464106677) and next prime (464106763).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1071624 + ... + 1072056.

It is an arithmetic number, because the mean of its divisors is an integer number (4921560).

Almost surely, 2^464106720 is an apocalyptic number.

464106720 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 464106720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (944939520).

464106720 is an abundant number, since it is smaller than the sum of its proper divisors (1425772320).

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

464106720 is a wasteful number, since it uses less digits than its factorization.

464106720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 464106720 is about 21543.1362619281. The cubic root of 464106720 is about 774.2346770175.

The spelling of 464106720 in words is "four hundred sixty-four million, one hundred six thousand, seven hundred twenty".