456300000 has 432 divisors, whose sum is σ = 1801290960. Its totient is φ = 112320000.

The previous prime is 456299969. The next prime is 456300023. The reversal of 456300000 is 3654.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 35099994 + ... + 35100006.

It is an arithmetic number, because the mean of its divisors is an integer number (4169655).

Almost surely, 2^456300000 is an apocalyptic number.

456300000 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 456300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (900645480).

456300000 is an abundant number, since it is smaller than the sum of its proper divisors (1344990960).

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

456300000 is an equidigital number, since it uses as much as digits as its factorization.

456300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 456300000 is about 21361.1797427015. The cubic root of 456300000 is about 769.8689831619.

Adding to 456300000 its reverse (3654), we get a palindrome (456303654).

The spelling of 456300000 in words is "four hundred fifty-six million, three hundred thousand".