140870400 has 432 divisors, whose sum is σ = 547464960. Its totient is φ = 31539200.

The previous prime is 140870399. The next prime is 140870437. The reversal of 140870400 is 4078041.

140870400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4857586 + ... + 4857614.

It is an arithmetic number, because the mean of its divisors is an integer number (1267280).

Almost surely, 2^140870400 is an apocalyptic number.

140870400 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 140870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273732480).

140870400 is an abundant number, since it is smaller than the sum of its proper divisors (406594560).

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

140870400 is a wasteful number, since it uses less digits than its factorization.

140870400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 73 counting only the distinct ones).

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

The square root of 140870400 is about 11868.8836880306. The cubic root of 140870400 is about 520.3232703900.

It can be divided in two parts, 140 and 870400, that added together give a triangular number (870540 = T₁₃₁₉).

The spelling of 140870400 in words is "one hundred forty million, eight hundred seventy thousand, four hundred".