1408070400 has 432 divisors, whose sum is σ = 5200917120. Its totient is φ = 332595200.

The previous prime is 1408070387. The next prime is 1408070401. The reversal of 1408070400 is 40708041.

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

It is not an unprimeable number, because it can be changed into a prime (1408070401) 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, 12460744 + ... + 12460856.

It is an arithmetic number, because the mean of its divisors is an integer number (12039160).

Almost surely, 2^1408070400 is an apocalyptic number.

1408070400 is a gapful number since it is divisible by the number (10) 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 1408070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2600458560).

1408070400 is an abundant number, since it is smaller than the sum of its proper divisors (3792846720).

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

1408070400 is a wasteful number, since it uses less digits than its factorization.

1408070400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 193 counting only the distinct ones).

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

The square root of 1408070400 is about 37524.2641500137. The cubic root of 1408070400 is about 1120.8344122130.

Adding to 1408070400 its reverse (40708041), we get a palindrome (1448778441).

The spelling of 1408070400 in words is "one billion, four hundred eight million, seventy thousand, four hundred".