451690000 has 100 divisors (see below), whose sum is σ = 1158351084. Its totient is φ = 169984000.

The previous prime is 451689977. The next prime is 451690013. The reversal of 451690000 is 96154.

It can be written as a sum of positive squares in 10 ways, for example, as 252428544 + 199261456 = 15888^2 + 14116^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×451690000² = 408047712200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 168672 + ... + 171328.

Almost surely, 2^451690000 is an apocalyptic number.

451690000 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 451690000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579175542).

451690000 is an abundant number, since it is smaller than the sum of its proper divisors (706661084).

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

451690000 is a wasteful number, since it uses less digits than its factorization.

451690000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2702 (or 2681 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 451690000 is about 21252.9997882652. Note that the first 3 decimals coincide. The cubic root of 451690000 is about 767.2675398661.

The spelling of 451690000 in words is "four hundred fifty-one million, six hundred ninety thousand".