90470400 has 288 divisors, whose sum is σ = 324979200. Its totient is φ = 22118400.

The previous prime is 90470389. The next prime is 90470407. The reversal of 90470400 is 407409.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90470407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2918385 + ... + 2918415.

It is an arithmetic number, because the mean of its divisors is an integer number (1128400).

Almost surely, 2^90470400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162489600).

90470400 is an abundant number, since it is smaller than the sum of its proper divisors (234508800).

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

90470400 is a wasteful number, since it uses less digits than its factorization.

90470400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 90470400 is about 9511.5929265292. The cubic root of 90470400 is about 448.9198786275.

Adding to 90470400 its reverse (407409), we get a palindrome (90877809).

The spelling of 90470400 in words is "ninety million, four hundred seventy thousand, four hundred".