70470400 has 324 divisors, whose sum is σ = 235967536. Its totient is φ = 20275200.

The previous prime is 70470397. The next prime is 70470401. The reversal of 70470400 is 407407.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (70470401) 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, 5420794 + ... + 5420806.

Almost surely, 2^70470400 is an apocalyptic number.

70470400 is a gapful number since it is divisible by the number (70) 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 70470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117983768).

70470400 is an abundant number, since it is smaller than the sum of its proper divisors (165497136).

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

70470400 is a wasteful number, since it uses less digits than its factorization.

70470400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 22.

The square root of 70470400 is about 8394.6649724691. The cubic root of 70470400 is about 413.0496376776.

Adding to 70470400 its reverse (407407), we get a palindrome (70877807).

It can be divided in two parts, 704 and 70400, that multiplied together give a square (49561600 = 7040²).

The spelling of 70470400 in words is "seventy million, four hundred seventy thousand, four hundred".