462295680 has 512 divisors, whose sum is σ = 1903564800. Its totient is φ = 92651520.

The previous prime is 462295661. The next prime is 462295681. The reversal of 462295680 is 86592264.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (462295681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7835491 + ... + 7835549.

It is an arithmetic number, because the mean of its divisors is an integer number (3717900).

Almost surely, 2^462295680 is an apocalyptic number.

462295680 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 462295680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (951782400).

462295680 is an abundant number, since it is smaller than the sum of its proper divisors (1441269120).

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

462295680 is a wasteful number, since it uses less digits than its factorization.

462295680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 462295680 is about 21501.0622993377. The cubic root of 462295680 is about 773.2262898477.

The spelling of 462295680 in words is "four hundred sixty-two million, two hundred ninety-five thousand, six hundred eighty".