462626481240 has 1152 divisors, whose sum is σ = 1992505132800. Its totient is φ = 95460664320.

The previous prime is 462626481221. The next prime is 462626481257. The reversal of 462626481240 is 42184626264.

462626481240 is a `hidden beast` number, since 4 + 6 + 2 + 626 + 4 + 8 + 12 + 4 + 0 = 666.

It is a super-2 number, since 2×462626481240² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1189270966 + ... + 1189271354.

It is an arithmetic number, because the mean of its divisors is an integer number (1729605150).

Almost surely, 2^462626481240 is an apocalyptic number.

462626481240 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 462626481240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (996252566400).

462626481240 is an abundant number, since it is smaller than the sum of its proper divisors (1529878651560).

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

462626481240 is a wasteful number, since it uses less digits than its factorization.

462626481240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 462626481240 in words is "four hundred sixty-two billion, six hundred twenty-six million, four hundred eighty-one thousand, two hundred forty".