874148400 has 90 divisors (see below), whose sum is σ = 3033550260. Its totient is φ = 233105280.

The previous prime is 874148393. The next prime is 874148437. The reversal of 874148400 is 4841478.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (90).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 117810 + ... + 125009.

It is an arithmetic number, because the mean of its divisors is an integer number (33706114).

Almost surely, 2^874148400 is an apocalyptic number.

874148400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

874148400 is an abundant number, since it is smaller than the sum of its proper divisors (2159401860).

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

874148400 is a wasteful number, since it uses less digits than its factorization.

874148400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242843 (or 242829 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 874148400 is about 29566.0007440979. Note that the first 3 decimals coincide. The cubic root of 874148400 is about 956.1551950097.

Adding to 874148400 its reverse (4841478), we get a palindrome (878989878).

The spelling of 874148400 in words is "eight hundred seventy-four million, one hundred forty-eight thousand, four hundred".