462834240 has 224 divisors, whose sum is σ = 1643725440. Its totient is φ = 109363200.

The previous prime is 462834233. The next prime is 462834263. The reversal of 462834240 is 42438264.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 432426 + ... + 433494.

It is an arithmetic number, because the mean of its divisors is an integer number (7338060).

Almost surely, 2^462834240 is an apocalyptic number.

462834240 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 462834240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821862720).

462834240 is an abundant number, since it is smaller than the sum of its proper divisors (1180891200).

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

462834240 is a wasteful number, since it uses less digits than its factorization.

462834240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1141 (or 1131 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

The square root of 462834240 is about 21513.5826862938. The cubic root of 462834240 is about 773.5264348014.

The spelling of 462834240 in words is "four hundred sixty-two million, eight hundred thirty-four thousand, two hundred forty".