451199760 has 160 divisors (see below), whose sum is σ = 1533866112. Its totient is φ = 108810240.

The previous prime is 451199741. The next prime is 451199767. The reversal of 451199760 is 67991154.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (451199767) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 730972 + ... + 731588.

Almost surely, 2^451199760 is an apocalyptic number.

451199760 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 451199760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766933056).

451199760 is an abundant number, since it is smaller than the sum of its proper divisors (1082666352).

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

451199760 is a wasteful number, since it uses less digits than its factorization.

451199760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 921 (or 915 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 42.

The square root of 451199760 is about 21241.4632264352. The cubic root of 451199760 is about 766.9898557587.

The spelling of 451199760 in words is "four hundred fifty-one million, one hundred ninety-nine thousand, seven hundred sixty".