414636040 has 96 divisors (see below), whose sum is σ = 1168798680. Its totient is φ = 131217408.

The previous prime is 414636029. The next prime is 414636041. The reversal of 414636040 is 40636414.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 363054916 + 51581124 = 19054^2 + 7182^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (414636041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17344 + ... + 33616.

Almost surely, 2^414636040 is an apocalyptic number.

414636040 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 414636040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584399340).

414636040 is an abundant number, since it is smaller than the sum of its proper divisors (754162640).

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

414636040 is a wasteful number, since it uses less digits than its factorization.

414636040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16311 (or 16300 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 414636040 is about 20362.6137811431. The cubic root of 414636040 is about 745.6854733332.

It can be divided in two parts, 4146 and 36040, that added together give a triangular number (40186 = T₂₈₃).

The spelling of 414636040 in words is "four hundred fourteen million, six hundred thirty-six thousand, forty".