464691240 has 192 divisors, whose sum is σ = 1679408640. Its totient is φ = 110661120.

The previous prime is 464691223. The next prime is 464691301. The reversal of 464691240 is 42196464.

464691240 is a `hidden beast` number, since 4 + 646 + 9 + 1 + 2 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 464691195 and 464691204.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 143479 + ... + 146681.

It is an arithmetic number, because the mean of its divisors is an integer number (8746920).

Almost surely, 2^464691240 is an apocalyptic number.

464691240 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 464691240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (839704320).

464691240 is an abundant number, since it is smaller than the sum of its proper divisors (1214717400).

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

464691240 is a wasteful number, since it uses less digits than its factorization.

464691240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3264 (or 3257 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 464691240 is about 21556.6982629530. The cubic root of 464691240 is about 774.5595777182.

The spelling of 464691240 in words is "four hundred sixty-four million, six hundred ninety-one thousand, two hundred forty".