70418400 has 288 divisors, whose sum is σ = 257671008. Its totient is φ = 16588800.

The previous prime is 70418393. The next prime is 70418401. The reversal of 70418400 is 481407.

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 (70418401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1154370 + ... + 1154430.

It is an arithmetic number, because the mean of its divisors is an integer number (894691).

Almost surely, 2^70418400 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 70418400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128835504).

70418400 is an abundant number, since it is smaller than the sum of its proper divisors (187252608).

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

70418400 is a wasteful number, since it uses less digits than its factorization.

70418400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 70418400 is about 8391.5671957031. The cubic root of 70418400 is about 412.9480164469.

Adding to 70418400 its reverse (481407), we get a palindrome (70899807).

The spelling of 70418400 in words is "seventy million, four hundred eighteen thousand, four hundred".