451965648 has 80 divisors (see below), whose sum is σ = 1190816640. Its totient is φ = 147689472.

The previous prime is 451965643. The next prime is 451965649. The reversal of 451965648 is 846569154.

It is a super-3 number, since 3×451965648³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 451965597 and 451965606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (451965643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 558268 + ... + 559076.

It is an arithmetic number, because the mean of its divisors is an integer number (14885208).

Almost surely, 2^451965648 is an apocalyptic number.

451965648 is a gapful number since it is divisible by the number (48) 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 451965648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595408320).

451965648 is an abundant number, since it is smaller than the sum of its proper divisors (738850992).

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

451965648 is a wasteful number, since it uses less digits than its factorization.

451965648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1036 (or 1030 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 48.

The square root of 451965648 is about 21259.4837190370. The cubic root of 451965648 is about 767.4235854984.

The spelling of 451965648 in words is "four hundred fifty-one million, nine hundred sixty-five thousand, six hundred forty-eight".