71486400 has 168 divisors, whose sum is σ = 239810544. Its totient is φ = 18636800.

The previous prime is 71486357. The next prime is 71486407. The reversal of 71486400 is 468417.

It is a super-2 number, since 2×71486400² = 10220610769920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71486407) 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, 254260 + ... + 254540.

Almost surely, 2^71486400 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 71486400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119905272).

71486400 is an abundant number, since it is smaller than the sum of its proper divisors (168324144).

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

71486400 is a wasteful number, since it uses less digits than its factorization.

71486400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 71486400 is about 8454.9630395407. The cubic root of 71486400 is about 415.0252077396.

The spelling of 71486400 in words is "seventy-one million, four hundred eighty-six thousand, four hundred".