462834730890 has 128 divisors (see below), whose sum is σ = 1412707806720. Its totient is φ = 105628506624.

The previous prime is 462834730877. The next prime is 462834730913. The reversal of 462834730890 is 98037438264.

462834730890 is a `hidden beast` number, since 4 + 6 + 2 + 83 + 473 + 0 + 8 + 90 = 666.

It is a hoax number, since the sum of its digits (54) 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 (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1046662 + ... + 1421678.

It is an arithmetic number, because the mean of its divisors is an integer number (11036779740).

Almost surely, 2^462834730890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 462834730890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706353903360).

462834730890 is an abundant number, since it is smaller than the sum of its proper divisors (949873075830).

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

462834730890 is a wasteful number, since it uses less digits than its factorization.

462834730890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375693 (or 375687 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 462834730890 in words is "four hundred sixty-two billion, eight hundred thirty-four million, seven hundred thirty thousand, eight hundred ninety".