472190400 has 378 divisors, whose sum is σ = 1851523856. Its totient is φ = 114048000.

The previous prime is 472190377. The next prime is 472190429. The reversal of 472190400 is 4091274.

It is a happy number.

472190400 is a `hidden beast` number, since 4 + 72 + 190 + 400 = 666.

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 53 ways as a sum of consecutive naturals, for example, 1742265 + ... + 1742535.

Almost surely, 2^472190400 is an apocalyptic number.

472190400 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 472190400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (925761928).

472190400 is an abundant number, since it is smaller than the sum of its proper divisors (1379333456).

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

472190400 is a wasteful number, since it uses less digits than its factorization.

472190400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 472190400 is about 21729.9424757637. The cubic root of 472190400 is about 778.7039621114.

The spelling of 472190400 in words is "four hundred seventy-two million, one hundred ninety thousand, four hundred".