202070400 has 384 divisors, whose sum is σ = 793282560. Its totient is φ = 44236800.

The previous prime is 202070353. The next prime is 202070419. The reversal of 202070400 is 4070202.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 202070400.

It is a congruent number.

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, 2083152 + ... + 2083248.

It is an arithmetic number, because the mean of its divisors is an integer number (2065840).

Almost surely, 2^202070400 is an apocalyptic number.

202070400 is a gapful number since it is divisible by the number (20) 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 202070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396641280).

202070400 is an abundant number, since it is smaller than the sum of its proper divisors (591212160).

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

202070400 is a wasteful number, since it uses less digits than its factorization.

202070400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 15.

The square root of 202070400 is about 14215.1468511585. The cubic root of 202070400 is about 586.8145862089.

The spelling of 202070400 in words is "two hundred two million, seventy thousand, four hundred".