413627490 has 96 divisors (see below), whose sum is σ = 1099843056. Its totient is φ = 107827200.

The previous prime is 413627483. The next prime is 413627507. The reversal of 413627490 is 94726314.

It can be written as a sum of positive squares in 8 ways, for example, as 286997481 + 126630009 = 16941^2 + 11253^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1031290 + ... + 1031690.

Almost surely, 2^413627490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413627490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549921528).

413627490 is an abundant number, since it is smaller than the sum of its proper divisors (686215566).

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

413627490 is a wasteful number, since it uses less digits than its factorization.

413627490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 413627490 is about 20337.8339554634. The cubic root of 413627490 is about 745.0803871037.

It can be divided in two parts, 4136 and 27490, that added together give a triangular number (31626 = T₂₅₁).

The spelling of 413627490 in words is "four hundred thirteen million, six hundred twenty-seven thousand, four hundred ninety".