414452000 has 48 divisors (see below), whose sum is σ = 1018318392. Its totient is φ = 165779200.

The previous prime is 414451979. The next prime is 414452009. The reversal of 414452000 is 254414.

It can be written as a sum of positive squares in 4 ways, for example, as 47499664 + 366952336 = 6892^2 + 19156^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (414452009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47807 + ... + 55806.

Almost surely, 2^414452000 is an apocalyptic number.

414452000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414452000 is an abundant number, since it is smaller than the sum of its proper divisors (603866392).

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

414452000 is a wasteful number, since it uses less digits than its factorization.

414452000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103638 (or 103620 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 414452000 is about 20358.0942133590. The cubic root of 414452000 is about 745.5751305660.

The spelling of 414452000 in words is "four hundred fourteen million, four hundred fifty-two thousand".