451269216 has 144 divisors (see below), whose sum is σ = 1381974048. Its totient is φ = 139161600.

The previous prime is 451269191. The next prime is 451269241. The reversal of 451269216 is 612962154.

It is an interprime number because it is at equal distance from previous prime (451269191) and next prime (451269241).

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 297901 + ... + 299411.

It is an arithmetic number, because the mean of its divisors is an integer number (9597042).

Almost surely, 2^451269216 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 451269216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690987024).

451269216 is an abundant number, since it is smaller than the sum of its proper divisors (930704832).

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

451269216 is a wasteful number, since it uses less digits than its factorization.

451269216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1605 (or 1594 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 451269216 is about 21243.0980791409. The cubic root of 451269216 is about 767.0292095873.

The spelling of 451269216 in words is "four hundred fifty-one million, two hundred sixty-nine thousand, two hundred sixteen".