451149888 has 112 divisors (see below), whose sum is σ = 1377858560. Its totient is φ = 127609344.

The previous prime is 451149887. The next prime is 451149911. The reversal of 451149888 is 888941154.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (451149883) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136803 + ... + 140061.

Almost surely, 2^451149888 is an apocalyptic number.

451149888 is a gapful number since it is divisible by the number (48) 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 451149888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688929280).

451149888 is an abundant number, since it is smaller than the sum of its proper divisors (926708672).

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

451149888 is a wasteful number, since it uses less digits than its factorization.

451149888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3384 (or 3374 counting only the distinct ones).

The product of its digits is 368640, while the sum is 48.

The square root of 451149888 is about 21240.2892635670. The cubic root of 451149888 is about 766.9615957499.

The spelling of 451149888 in words is "four hundred fifty-one million, one hundred forty-nine thousand, eight hundred eighty-eight".