471242400 has 144 divisors (see below), whose sum is σ = 1600772544. Its totient is φ = 120186880.

The previous prime is 471242399. The next prime is 471242417. The reversal of 471242400 is 4242174.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50932 + ... + 59468.

It is an arithmetic number, because the mean of its divisors is an integer number (11116476).

Almost surely, 2^471242400 is an apocalyptic number.

471242400 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 471242400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (800386272).

471242400 is an abundant number, since it is smaller than the sum of its proper divisors (1129530144).

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

471242400 is a wasteful number, since it uses less digits than its factorization.

471242400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8583 (or 8570 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 24.

The square root of 471242400 is about 21708.1182970796. The cubic root of 471242400 is about 778.1824874868.

Adding to 471242400 its reverse (4242174), we get a palindrome (475484574).

The spelling of 471242400 in words is "four hundred seventy-one million, two hundred forty-two thousand, four hundred".