451640 has 32 divisors (see below), whose sum is σ = 1162080. Its totient is φ = 154752.

The previous prime is 451637. The next prime is 451657. The reversal of 451640 is 46154.

451640 = T₃₈₅ + T₃₈₆ + ... + T₃₉₀.

451640 = 32² + 33² + ... + 111².

It is a happy number.

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

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 527 + ... + 1086.

It is an arithmetic number, because the mean of its divisors is an integer number (36315).

2⁴⁵¹⁶⁴⁰ is an apocalyptic number.

451640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

451640 is an abundant number, since it is smaller than the sum of its proper divisors (710440).

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

451640 is a wasteful number, since it uses less digits than its factorization.

451640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1631 (or 1627 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 451640 is about 672.0416653750. The cubic root of 451640 is about 76.7239227829.

Adding to 451640 its reverse (46154), we get a palindrome (497794).

The spelling of 451640 in words is "four hundred fifty-one thousand, six hundred forty".