451011440 has 80 divisors (see below), whose sum is σ = 1148605056. Its totient is φ = 163334400.

The previous prime is 451011419. The next prime is 451011461. The reversal of 451011440 is 44110154.

It is an interprime number because it is at equal distance from previous prime (451011419) and next prime (451011461).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×451011440² = 406822638021747200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 248135 + ... + 249945.

Almost surely, 2^451011440 is an apocalyptic number.

451011440 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 451011440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574302528).

451011440 is an abundant number, since it is smaller than the sum of its proper divisors (697593616).

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

451011440 is a wasteful number, since it uses less digits than its factorization.

451011440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2118 (or 2112 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 451011440 is about 21237.0299241678. The cubic root of 451011440 is about 766.8831331624.

Adding to 451011440 its reverse (44110154), we get a palindrome (495121594).

It can be divided in two parts, 4510114 and 40, that added together give a palindrome (4510154).

The spelling of 451011440 in words is "four hundred fifty-one million, eleven thousand, four hundred forty".