464214240 has 720 divisors, whose sum is σ = 2064796272. Its totient is φ = 97542144.

The previous prime is 464214229. The next prime is 464214271. The reversal of 464214240 is 42412464.

It is a happy number.

464214240 is a `hidden beast` number, since 4 + 642 + 14 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 10795659 + ... + 10795701.

Almost surely, 2^464214240 is an apocalyptic number.

464214240 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 464214240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1032398136).

464214240 is an abundant number, since it is smaller than the sum of its proper divisors (1600582032).

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

464214240 is a wasteful number, since it uses less digits than its factorization.

464214240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 464214240 is about 21545.6315757974. The cubic root of 464214240 is about 774.2944616038.

The spelling of 464214240 in words is "four hundred sixty-four million, two hundred fourteen thousand, two hundred forty".