462381621520 has 160 divisors (see below), whose sum is σ = 1323997758720. Its totient is φ = 146239395840.

The previous prime is 462381621517. The next prime is 462381621529. The reversal of 462381621520 is 25126183264.

It is a super-2 number, since 2×462381621520² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (462381621529) 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, 11416666 + ... + 11457094.

It is an arithmetic number, because the mean of its divisors is an integer number (8274985992).

Almost surely, 2^462381621520 is an apocalyptic number.

462381621520 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 462381621520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661998879360).

462381621520 is an abundant number, since it is smaller than the sum of its proper divisors (861616137200).

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

462381621520 is a wasteful number, since it uses less digits than its factorization.

462381621520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42033 (or 42027 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The spelling of 462381621520 in words is "four hundred sixty-two billion, three hundred eighty-one million, six hundred twenty-one thousand, five hundred twenty".