407914416 has 180 divisors, whose sum is σ = 1430450112. Its totient is φ = 107557632.

The previous prime is 407914411. The next prime is 407914421. The reversal of 407914416 is 614419704.

It is an interprime number because it is at equal distance from previous prime (407914411) and next prime (407914421).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (407914411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 89505 + ... + 93951.

Almost surely, 2^407914416 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 407914416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715225056).

407914416 is an abundant number, since it is smaller than the sum of its proper divisors (1022535696).

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

407914416 is a wasteful number, since it uses less digits than its factorization.

407914416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4488 (or 4472 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 407914416 is about 20196.8912459319. The cubic root of 407914416 is about 741.6340903814.

The spelling of 407914416 in words is "four hundred seven million, nine hundred fourteen thousand, four hundred sixteen".