471450400 has 72 divisors (see below), whose sum is σ = 1154433924. Its totient is φ = 188006400.

The previous prime is 471450377. The next prime is 471450407. The reversal of 471450400 is 4054174.

It can be written as a sum of positive squares in 6 ways, for example, as 26915344 + 444535056 = 5188^2 + 21084^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (471450407) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 345720 + ... + 347080.

Almost surely, 2^471450400 is an apocalyptic number.

471450400 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 471450400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577216962).

471450400 is an abundant number, since it is smaller than the sum of its proper divisors (682983524).

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

471450400 is a wasteful number, since it uses less digits than its factorization.

471450400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1814 (or 1801 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 25.

The square root of 471450400 is about 21712.9086029486. The cubic root of 471450400 is about 778.2969637087.

The spelling of 471450400 in words is "four hundred seventy-one million, four hundred fifty thousand, four hundred".