742001400 has 144 divisors (see below), whose sum is σ = 2847920400. Its totient is φ = 169597440.

The previous prime is 742001387. The next prime is 742001401. The reversal of 742001400 is 4100247.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (742001401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16845 + ... + 42044.

It is an arithmetic number, because the mean of its divisors is an integer number (19777225).

Almost surely, 2^742001400 is an apocalyptic number.

742001400 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

742001400 is an abundant number, since it is smaller than the sum of its proper divisors (2105919000).

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

742001400 is a wasteful number, since it uses less digits than its factorization.

742001400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58918 (or 58906 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 742001400 is about 27239.7026415488. The cubic root of 742001400 is about 905.3188746390.

Adding to 742001400 its reverse (4100247), we get a palindrome (746101647).

The spelling of 742001400 in words is "seven hundred forty-two million, one thousand, four hundred".