481428480 has 176 divisors, whose sum is σ = 1658954304. Its totient is φ = 118456320.

The previous prime is 481428463. The next prime is 481428511. The reversal of 481428480 is 84824184.

It is a super-2 number, since 2×481428480² = 463546762710220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 198475 + ... + 200885.

Almost surely, 2^481428480 is an apocalyptic number.

481428480 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 481428480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (829477152).

481428480 is an abundant number, since it is smaller than the sum of its proper divisors (1177525824).

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

481428480 is a wasteful number, since it uses less digits than its factorization.

481428480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2452 (or 2434 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 39.

The square root of 481428480 is about 21941.4785281211. The cubic root of 481428480 is about 783.7494687491.

The spelling of 481428480 in words is "four hundred eighty-one million, four hundred twenty-eight thousand, four hundred eighty".