451601920 has 320 divisors, whose sum is σ = 1414195200. Its totient is φ = 134184960.

The previous prime is 451601881. The next prime is 451601929. The reversal of 451601920 is 29106154.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (451601929) 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 31 ways as a sum of consecutive naturals, for example, 5716441 + ... + 5716519.

It is an arithmetic number, because the mean of its divisors is an integer number (4419360).

Almost surely, 2^451601920 is an apocalyptic number.

451601920 is a gapful number since it is divisible by the number (40) 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 451601920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707097600).

451601920 is an abundant number, since it is smaller than the sum of its proper divisors (962593280).

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

451601920 is a wasteful number, since it uses less digits than its factorization.

451601920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 451601920 is about 21250.9275091700. The cubic root of 451601920 is about 767.2176639791.

The spelling of 451601920 in words is "four hundred fifty-one million, six hundred one thousand, nine hundred twenty".