451543040 has 144 divisors (see below), whose sum is σ = 1189080648. Its totient is φ = 163577856.

The previous prime is 451543019. The next prime is 451543063. The reversal of 451543040 is 40345154.

It can be written as a sum of positive squares in 4 ways, for example, as 330366976 + 121176064 = 18176^2 + 11008^2 .

It is a super-2 number, since 2×451543040² = 407782233944883200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

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, 8519654 + ... + 8519706.

Almost surely, 2^451543040 is an apocalyptic number.

451543040 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 451543040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594540324).

451543040 is an abundant number, since it is smaller than the sum of its proper divisors (737537608).

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

451543040 is an frugal number, since it uses more digits than its factorization.

451543040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 451543040 is about 21249.5421127139. The cubic root of 451543040 is about 767.1843191700.

Adding to 451543040 its reverse (40345154), we get a palindrome (491888194).

The spelling of 451543040 in words is "four hundred fifty-one million, five hundred forty-three thousand, forty".