481479690240 has 768 divisors, whose sum is σ = 1834140672000. Its totient is φ = 119380377600.

The previous prime is 481479690193. The next prime is 481479690283. The reversal of 481479690240 is 42096974184.

481479690240 is a `hidden beast` number, since 4 + 81 + 479 + 6 + 90 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×481479690240² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 418313665 + ... + 418314815.

It is an arithmetic number, because the mean of its divisors is an integer number (2388204000).

Almost surely, 2^481479690240 is an apocalyptic number.

481479690240 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 481479690240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (917070336000).

481479690240 is an abundant number, since it is smaller than the sum of its proper divisors (1352660981760).

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

481479690240 is a wasteful number, since it uses less digits than its factorization.

481479690240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1293 (or 1267 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 481479690240 in words is "four hundred eighty-one billion, four hundred seventy-nine million, six hundred ninety thousand, two hundred forty".