42719400 has 168 divisors, whose sum is σ = 149424030. Its totient is φ = 11352960.

The previous prime is 42719399. The next prime is 42719449. The reversal of 42719400 is 491724.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 39917124 + 2802276 = 6318^2 + 1674^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 145654 + ... + 145946.

Almost surely, 2^42719400 is an apocalyptic number.

42719400 is a gapful number since it is divisible by the number (40) 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 42719400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74712015).

42719400 is an abundant number, since it is smaller than the sum of its proper divisors (106704630).

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

42719400 is a wasteful number, since it uses less digits than its factorization.

42719400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 42719400 is about 6536.0079559315. The cubic root of 42719400 is about 349.5760854079.

The spelling of 42719400 in words is "forty-two million, seven hundred nineteen thousand, four hundred".