413020440 has 384 divisors, whose sum is σ = 1682104320. Its totient is φ = 85708800.

The previous prime is 413020427. The next prime is 413020459. The reversal of 413020440 is 44020314.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 1327885 + ... + 1328195.

It is an arithmetic number, because the mean of its divisors is an integer number (4380480).

Almost surely, 2^413020440 is an apocalyptic number.

413020440 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 413020440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (841052160).

413020440 is an abundant number, since it is smaller than the sum of its proper divisors (1269083880).

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

413020440 is a wasteful number, since it uses less digits than its factorization.

413020440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 413020440 is about 20322.9043200031. The cubic root of 413020440 is about 744.7157091347.

Adding to 413020440 its reverse (44020314), we get a palindrome (457040754).

The spelling of 413020440 in words is "four hundred thirteen million, twenty thousand, four hundred forty".