451554480 has 240 divisors, whose sum is σ = 1685561760. Its totient is φ = 111062016.

The previous prime is 451554461. The next prime is 451554547. The reversal of 451554480 is 84455154.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 364422 + ... + 365658.

It is an arithmetic number, because the mean of its divisors is an integer number (7023174).

Almost surely, 2^451554480 is an apocalyptic number.

451554480 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 451554480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (842780880).

451554480 is an abundant number, since it is smaller than the sum of its proper divisors (1234007280).

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

451554480 is a wasteful number, since it uses less digits than its factorization.

451554480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1285 (or 1260 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 36.

The square root of 451554480 is about 21249.8112932798. The cubic root of 451554480 is about 767.1907980758.

It can be divided in two parts, 451 and 554480, that added together give a triangular number (554931 = T₁₀₅₃).

The spelling of 451554480 in words is "four hundred fifty-one million, five hundred fifty-four thousand, four hundred eighty".