414402560 has 192 divisors, whose sum is σ = 1172283840. Its totient is φ = 138608640.

The previous prime is 414402533. The next prime is 414402563. The reversal of 414402560 is 65204414.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414402563) 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, 1464179 + ... + 1464461.

It is an arithmetic number, because the mean of its divisors is an integer number (6105645).

Almost surely, 2^414402560 is an apocalyptic number.

414402560 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 414402560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586141920).

414402560 is an abundant number, since it is smaller than the sum of its proper divisors (757881280).

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

414402560 is a wasteful number, since it uses less digits than its factorization.

414402560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 414402560 is about 20356.8799181014. The cubic root of 414402560 is about 745.5454828221.

Adding to 414402560 its reverse (65204414), we get a palindrome (479606974).

The spelling of 414402560 in words is "four hundred fourteen million, four hundred two thousand, five hundred sixty".