451972224 has 192 divisors, whose sum is σ = 1472496480. Its totient is φ = 136857600.

The previous prime is 451972223. The next prime is 451972249. The reversal of 451972224 is 422279154.

It is a tau number, because it is divible by the number of its divisors (192).

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 (451972223) 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 23 ways as a sum of consecutive naturals, for example, 341484 + ... + 342804.

Almost surely, 2^451972224 is an apocalyptic number.

451972224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 451972224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736248240).

451972224 is an abundant number, since it is smaller than the sum of its proper divisors (1020524256).

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

451972224 is a wasteful number, since it uses less digits than its factorization.

451972224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1361 (or 1337 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 451972224 is about 21259.6383788624. The cubic root of 451972224 is about 767.4273074280.

The spelling of 451972224 in words is "four hundred fifty-one million, nine hundred seventy-two thousand, two hundred twenty-four".