467628480 has 336 divisors, whose sum is σ = 1818741600. Its totient is φ = 109240320.

The previous prime is 467628457. The next prime is 467628481. The reversal of 467628480 is 84826764.

It is a super-2 number, since 2×467628480² = 437352790614220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (467628481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 918466 + ... + 918974.

Almost surely, 2^467628480 is an apocalyptic number.

467628480 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 467628480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (909370800).

467628480 is an abundant number, since it is smaller than the sum of its proper divisors (1351113120).

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

467628480 is a wasteful number, since it uses less digits than its factorization.

467628480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 467628480 is about 21624.7191889282. The cubic root of 467628480 is about 776.1881075844.

The spelling of 467628480 in words is "four hundred sixty-seven million, six hundred twenty-eight thousand, four hundred eighty".