451272640 has 112 divisors (see below), whose sum is σ = 1322661312. Its totient is φ = 142811136.

The previous prime is 451272623. The next prime is 451272677. The reversal of 451272640 is 46272154.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×451272640² = 407293991225139200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21372 + ... + 36868.

It is an arithmetic number, because the mean of its divisors is an integer number (11809476).

Almost surely, 2^451272640 is an apocalyptic number.

451272640 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 451272640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661330656).

451272640 is an abundant number, since it is smaller than the sum of its proper divisors (871388672).

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

451272640 is a wasteful number, since it uses less digits than its factorization.

451272640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15534 (or 15524 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 31.

The square root of 451272640 is about 21243.1786698695. The cubic root of 451272640 is about 767.0311495242.

The spelling of 451272640 in words is "four hundred fifty-one million, two hundred seventy-two thousand, six hundred forty".