456225000 has 384 divisors, whose sum is σ = 1799884800. Its totient is φ = 93600000.

The previous prime is 456224981. The next prime is 456225023. The reversal of 456225000 is 522654.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5774961 + ... + 5775039.

It is an arithmetic number, because the mean of its divisors is an integer number (4687200).

Almost surely, 2^456225000 is an apocalyptic number.

456225000 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 456225000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899942400).

456225000 is an abundant number, since it is smaller than the sum of its proper divisors (1343659800).

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

456225000 is a wasteful number, since it uses less digits than its factorization.

456225000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 456225000 is about 21359.4241495411. The cubic root of 456225000 is about 769.8268008714.

Adding to 456225000 its reverse (522654), we get a palindrome (456747654).

It can be divided in two parts, 456 and 225000, that added together give a triangular number (225456 = T₆₇₁).

The spelling of 456225000 in words is "four hundred fifty-six million, two hundred twenty-five thousand".