413070840 has 384 divisors, whose sum is σ = 1717148160. Its totient is φ = 86966784.

The previous prime is 413070839. The next prime is 413070863. The reversal of 413070840 is 48070314.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 884287 + ... + 884753.

It is an arithmetic number, because the mean of its divisors is an integer number (4471740).

Almost surely, 2^413070840 is an apocalyptic number.

413070840 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 413070840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858574080).

413070840 is an abundant number, since it is smaller than the sum of its proper divisors (1304077320).

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

413070840 is a wasteful number, since it uses less digits than its factorization.

413070840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 413070840 is about 20324.1442624284. The cubic root of 413070840 is about 744.7459999238.

The spelling of 413070840 in words is "four hundred thirteen million, seventy thousand, eight hundred forty".