381435480 has 80 divisors (see below), whose sum is σ = 1282057920. Its totient is φ = 101715264.

The previous prime is 381435437. The next prime is 381435487. The reversal of 381435480 is 84534183.

381435480 is a `hidden beast` number, since 38 + 143 + 5 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381435487) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 55624 + ... + 62103.

It is an arithmetic number, because the mean of its divisors is an integer number (16025724).

Almost surely, 2^381435480 is an apocalyptic number.

381435480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

381435480 is an abundant number, since it is smaller than the sum of its proper divisors (900622440).

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

381435480 is a wasteful number, since it uses less digits than its factorization.

381435480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117750 (or 117737 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 381435480 is about 19530.3732683223. The cubic root of 381435480 is about 725.2265514738.

The spelling of 381435480 in words is "three hundred eighty-one million, four hundred thirty-five thousand, four hundred eighty".