451234080 has 288 divisors, whose sum is σ = 1711015488. Its totient is φ = 107366400.

The previous prime is 451234057. The next prime is 451234081. The reversal of 451234080 is 80432154.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×451234080² = 407224389906892800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (451234081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 966007 + ... + 966473.

It is an arithmetic number, because the mean of its divisors is an integer number (5941026).

Almost surely, 2^451234080 is an apocalyptic number.

451234080 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 451234080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (855507744).

451234080 is an abundant number, since it is smaller than the sum of its proper divisors (1259781408).

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

451234080 is a wasteful number, since it uses less digits than its factorization.

451234080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 451234080 is about 21242.2710650250. The cubic root of 451234080 is about 767.0093020046.

The spelling of 451234080 in words is "four hundred fifty-one million, two hundred thirty-four thousand, eighty".