470400000 has 396 divisors, whose sum is σ = 1822992696. Its totient is φ = 107520000.

The previous prime is 470399971. The next prime is 470400001. The reversal of 470400000 is 4074.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (470400001) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 67199997 + ... + 67200003.

Almost surely, 2^470400000 is an apocalyptic number.

470400000 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 470400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (911496348).

470400000 is an abundant number, since it is smaller than the sum of its proper divisors (1352592696).

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

470400000 is an frugal number, since it uses more digits than its factorization.

470400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 15.

The square root of 470400000 is about 21688.7067387615. The cubic root of 470400000 is about 777.7185140030.

Multiplying 470400000 by its sum of digits (15), we get a square (7056000000 = 84000²).

470400000 divided by its sum of digits (15) gives a square (31360000 = 5600²).

Adding to 470400000 its reverse (4074), we get a palindrome (470404074).

The spelling of 470400000 in words is "four hundred seventy million, four hundred thousand".