190451820 has 192 divisors, whose sum is σ = 616412160. Its totient is φ = 43545600.

The previous prime is 190451803. The next prime is 190451827. The reversal of 190451820 is 28154091.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (190451827) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1052130 + ... + 1052310.

It is an arithmetic number, because the mean of its divisors is an integer number (3210480).

Almost surely, 2^190451820 is an apocalyptic number.

190451820 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 190451820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308206080).

190451820 is an abundant number, since it is smaller than the sum of its proper divisors (425960340).

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

190451820 is a wasteful number, since it uses less digits than its factorization.

190451820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 190451820 is about 13800.4282542246. The cubic root of 190451820 is about 575.3450430644.

It can be divided in two parts, 190451 and 820, that added together give a triangular number (191271 = T₆₁₈).

The spelling of 190451820 in words is "one hundred ninety million, four hundred fifty-one thousand, eight hundred twenty".