470401762400 has 144 divisors (see below), whose sum is σ = 1188563927040. Its totient is φ = 181606924800.

The previous prime is 470401762387. The next prime is 470401762427. The reversal of 470401762400 is 4267104074.

It is a congruent number.

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, 9374177 + ... + 9424223.

It is an arithmetic number, because the mean of its divisors is an integer number (8253916160).

Almost surely, 2^470401762400 is an apocalyptic number.

470401762400 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 470401762400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594281963520).

470401762400 is an abundant number, since it is smaller than the sum of its proper divisors (718162164640).

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

470401762400 is a wasteful number, since it uses less digits than its factorization.

470401762400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50477 (or 50464 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 35.

Adding to 470401762400 its reverse (4267104074), we get a palindrome (474668866474).

The spelling of 470401762400 in words is "four hundred seventy billion, four hundred one million, seven hundred sixty-two thousand, four hundred".