451350000 has 360 divisors, whose sum is σ = 1700047440. Its totient is φ = 111360000.

The previous prime is 451349981. The next prime is 451350001. The reversal of 451350000 is 53154.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (451350001) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7649971 + ... + 7650029.

It is an arithmetic number, because the mean of its divisors is an integer number (4722354).

Almost surely, 2^451350000 is an apocalyptic number.

451350000 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 451350000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850023720).

451350000 is an abundant number, since it is smaller than the sum of its proper divisors (1248697440).

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

451350000 is a wasteful number, since it uses less digits than its factorization.

451350000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 451350000 is about 21244.9994116263. Note that the first 3 decimals coincide. The cubic root of 451350000 is about 767.0749767911.

The spelling of 451350000 in words is "four hundred fifty-one million, three hundred fifty thousand".