474780000 has 240 divisors, whose sum is σ = 1603624176. Its totient is φ = 122880000.

The previous prime is 474779993. The next prime is 474780011. The reversal of 474780000 is 87474.

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 (30).

It is a self number, because there is not a number n which added to its sum of digits gives 474780000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2459904 + ... + 2460096.

Almost surely, 2^474780000 is an apocalyptic number.

474780000 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 474780000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801812088).

474780000 is an abundant number, since it is smaller than the sum of its proper divisors (1128844176).

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

474780000 is a wasteful number, since it uses less digits than its factorization.

474780000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 30.

The square root of 474780000 is about 21789.4469870164. The cubic root of 474780000 is about 780.1248978168.

The spelling of 474780000 in words is "four hundred seventy-four million, seven hundred eighty thousand".