462426360 has 128 divisors (see below), whose sum is σ = 1538472960. Its totient is φ = 110246400.

The previous prime is 462426359. The next prime is 462426361. The reversal of 462426360 is 63624264.

It is an interprime number because it is at equal distance from previous prime (462426359) and next prime (462426361).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (462426361) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77649 + ... + 83391.

It is an arithmetic number, because the mean of its divisors is an integer number (12019320).

Almost surely, 2^462426360 is an apocalyptic number.

462426360 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 462426360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769236480).

462426360 is an abundant number, since it is smaller than the sum of its proper divisors (1076046600).

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

462426360 is a wasteful number, since it uses less digits than its factorization.

462426360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5829 (or 5825 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

The square root of 462426360 is about 21504.1010042271. The cubic root of 462426360 is about 773.2991405479.

The spelling of 462426360 in words is "four hundred sixty-two million, four hundred twenty-six thousand, three hundred sixty".