476148400 has 240 divisors, whose sum is σ = 1432797184. Its totient is φ = 148055040.

The previous prime is 476148391. The next prime is 476148401. The reversal of 476148400 is 4841674.

It is not an unprimeable number, because it can be changed into a prime (476148401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3749137 + ... + 3749263.

Almost surely, 2^476148400 is an apocalyptic number.

476148400 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 476148400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716398592).

476148400 is an abundant number, since it is smaller than the sum of its proper divisors (956648784).

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

476148400 is a wasteful number, since it uses less digits than its factorization.

476148400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 34.

The square root of 476148400 is about 21820.8249156626. The cubic root of 476148400 is about 780.8736649318.

It can be divided in two parts, 4761 and 48400, that multiplied together give a square (230432400 = 15180²).

The spelling of 476148400 in words is "four hundred seventy-six million, one hundred forty-eight thousand, four hundred".