71408400 has 120 divisors (see below), whose sum is σ = 261453504. Its totient is φ = 16320000.

The previous prime is 71408387. The next prime is 71408401. The reversal of 71408400 is 480417.

It is a tau number, because it is divible by the number of its divisors (120).

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 (71408401) 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, 4150 + ... + 12650.

Almost surely, 2^71408400 is an apocalyptic number.

71408400 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 71408400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130726752).

71408400 is an abundant number, since it is smaller than the sum of its proper divisors (190045104).

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

71408400 is a wasteful number, since it uses less digits than its factorization.

71408400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8529 (or 8518 counting only the distinct ones).

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

The square root of 71408400 is about 8450.3491052145. The cubic root of 71408400 is about 414.8742058371.

Adding to 71408400 its reverse (480417), we get a palindrome (71888817).

The spelling of 71408400 in words is "seventy-one million, four hundred eight thousand, four hundred".