413147840 has 56 divisors (see below), whose sum is σ = 1124358432. Its totient is φ = 141649920.

The previous prime is 413147789. The next prime is 413147843. The reversal of 413147840 is 48741314.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×413147840² = 341382275393331200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 413147797 and 413147806.

It is not an unprimeable number, because it can be changed into a prime (413147843) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 89981 + ... + 94460.

Almost surely, 2^413147840 is an apocalyptic number.

413147840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413147840 is an abundant number, since it is smaller than the sum of its proper divisors (711210592).

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

413147840 is a wasteful number, since it uses less digits than its factorization.

413147840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184465 (or 184455 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 413147840 is about 20326.0384728555. The cubic root of 413147840 is about 744.7922727609.

The spelling of 413147840 in words is "four hundred thirteen million, one hundred forty-seven thousand, eight hundred forty".