451416 has 32 divisors (see below), whose sum is σ = 1290240. Its totient is φ = 128928.

The previous prime is 451411. The next prime is 451439. The reversal of 451416 is 614154.

451416 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 451392 and 451401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (451411) by changing a digit.

451416 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1176 + ... + 1511.

It is an arithmetic number, because the mean of its divisors is an integer number (40320).

2⁴⁵¹⁴¹⁶ is an apocalyptic number.

It is an amenable number.

451416 is an abundant number, since it is smaller than the sum of its proper divisors (838824).

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

451416 is a wasteful number, since it uses less digits than its factorization.

451416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2703 (or 2699 counting only the distinct ones).

The product of its digits is 480, while the sum is 21.

The square root of 451416 is about 671.8749883721. The cubic root of 451416 is about 76.7112364244.

The spelling of 451416 in words is "four hundred fifty-one thousand, four hundred sixteen".