414140496 has 160 divisors (see below), whose sum is σ = 1349913600. Its totient is φ = 106275840.

The previous prime is 414140483. The next prime is 414140497. The reversal of 414140496 is 694041414.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414140497) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 328315 + ... + 329573.

It is an arithmetic number, because the mean of its divisors is an integer number (8436960).

Almost surely, 2^414140496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414140496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674956800).

414140496 is an abundant number, since it is smaller than the sum of its proper divisors (935773104).

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

414140496 is a wasteful number, since it uses less digits than its factorization.

414140496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1377 (or 1371 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 414140496 is about 20350.4421573586. The cubic root of 414140496 is about 745.3882912003.

The spelling of 414140496 in words is "four hundred fourteen million, one hundred forty thousand, four hundred ninety-six".