413495040 has 144 divisors (see below), whose sum is σ = 1509355008. Its totient is φ = 94507008.

The previous prime is 413495039. The next prime is 413495041. The reversal of 413495040 is 40594314.

It is an interprime number because it is at equal distance from previous prime (413495039) and next prime (413495041).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 413494989 and 413495007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413495041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19189 + ... + 34571.

It is an arithmetic number, because the mean of its divisors is an integer number (10481632).

Almost surely, 2^413495040 is an apocalyptic number.

413495040 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 413495040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754677504).

413495040 is an abundant number, since it is smaller than the sum of its proper divisors (1095859968).

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

413495040 is a wasteful number, since it uses less digits than its factorization.

413495040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15414 (or 15400 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 413495040 is about 20334.5774482776. The cubic root of 413495040 is about 745.0008498106. Note that the first 3 decimals are identical.

The spelling of 413495040 in words is "four hundred thirteen million, four hundred ninety-five thousand, forty".