414020376 has 384 divisors, whose sum is σ = 1511731200. Its totient is φ = 102643200.

The previous prime is 414020371. The next prime is 414020389. The reversal of 414020376 is 673020414.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414020371) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5671476 + ... + 5671548.

It is an arithmetic number, because the mean of its divisors is an integer number (3936800).

Almost surely, 2^414020376 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 414020376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755865600).

414020376 is an abundant number, since it is smaller than the sum of its proper divisors (1097710824).

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

414020376 is a wasteful number, since it uses less digits than its factorization.

414020376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 414020376 is about 20347.4906560981. The cubic root of 414020376 is about 745.3162184776.

The spelling of 414020376 in words is "four hundred fourteen million, twenty thousand, three hundred seventy-six".