451473792 has 128 divisors (see below), whose sum is σ = 1495238400. Its totient is φ = 117258240.

The previous prime is 451473791. The next prime is 451473797. The reversal of 451473792 is 297374154.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (451473791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21934 + ... + 37202.

It is an arithmetic number, because the mean of its divisors is an integer number (11681550).

Almost surely, 2^451473792 is an apocalyptic number.

451473792 is a gapful number since it is divisible by the number (42) 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 451473792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747619200).

451473792 is an abundant number, since it is smaller than the sum of its proper divisors (1043764608).

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

451473792 is a wasteful number, since it uses less digits than its factorization.

451473792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15304 (or 15292 counting only the distinct ones).

The product of its digits is 211680, while the sum is 42.

The square root of 451473792 is about 21247.9126504229. The cubic root of 451473792 is about 767.1450990654.

The spelling of 451473792 in words is "four hundred fifty-one million, four hundred seventy-three thousand, seven hundred ninety-two".