481013640 has 384 divisors, whose sum is σ = 1783192320. Its totient is φ = 116121600.

The previous prime is 481013629. The next prime is 481013647. The reversal of 481013640 is 46310184.

481013640 = 458² + 459² + ... + 1154².

481013640 is a `hidden beast` number, since 4 + 8 + 1 + 0 + 13 + 640 = 666.

It is a super-3 number, since 3×481013640³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (481013647) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6774805 + ... + 6774875.

It is an arithmetic number, because the mean of its divisors is an integer number (4643730).

Almost surely, 2^481013640 is an apocalyptic number.

481013640 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 481013640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (891596160).

481013640 is an abundant number, since it is smaller than the sum of its proper divisors (1302178680).

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

481013640 is a wasteful number, since it uses less digits than its factorization.

481013640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 481013640 is about 21932.0231624900. The cubic root of 481013640 is about 783.5242888420.

The spelling of 481013640 in words is "four hundred eighty-one million, thirteen thousand, six hundred forty".