463242240 has 220 divisors, whose sum is σ = 1661484396. Its totient is φ = 123420672.

The previous prime is 463242233. The next prime is 463242301. The reversal of 463242240 is 42242364.

463242240 is a `hidden beast` number, since 4 + 632 + 4 + 2 + 24 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 79709184 + 383533056 = 8928^2 + 19584^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 414162 + ... + 415278.

Almost surely, 2^463242240 is an apocalyptic number.

463242240 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 463242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830742198).

463242240 is an abundant number, since it is smaller than the sum of its proper divisors (1198242156).

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

463242240 is a wasteful number, since it uses less digits than its factorization.

463242240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1154 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 463242240 is about 21523.0629790465. The cubic root of 463242240 is about 773.7536623683.

The spelling of 463242240 in words is "four hundred sixty-three million, two hundred forty-two thousand, two hundred forty".